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Landmark Numbers for Fermi Questions

A reference set of memorisable quantities — populations, sizes, rates, and densities — that anchor back-of-envelope estimation.

What Landmark Numbers Are

A Fermi estimate is only as good as its anchors. Landmark numbers are the handful of quantities worth memorising — not for trivia, but because they unlock a wide class of estimates by giving you a known reference to scale from.

The goal is a small, orthogonal set: numbers that don’t overlap, cover different domains, and can be combined to reach almost any target.

People

QuantityValue
World population8 billion
India population1.4 billion
USA population330 million
A large city (Mumbai, Lagos, Jakarta)~20 million
A mid-size city~1 million
A small town~10,000–50,000
Average household size (India)~4.5 people
Average lifespan~75 years
Working life~40 years (25–65)

Time

QuantityValue
Seconds in a day~86,000 ≈ 10⁵
Seconds in a year~3.15 × 10⁷ ≈ π × 10⁷
Hours in a year~8,760 ≈ 9,000
Age of the universe~14 billion years
Age of Earth~4.5 billion years
Human history (writing)~5,000 years

The “π × 10⁷ seconds per year” trick is worth memorising — it’s accurate to 0.5% and comes up constantly.

Size and Distance

QuantityValue
Earth radius6,400 km
Earth circumference40,000 km
Earth–Moon distance384,000 km ≈ 30 × Earth diameters
Earth–Sun distance (1 AU)150 million km
Height of a human~1.7 m
Height of a 10-story building~30 m
Length of a city block~100 m
India north–south span~3,000 km

Mass and Density

QuantityValue
Mass of a human~70 kg
Mass of a car~1,500 kg
Density of water1,000 kg/m³
Density of air (sea level)~1.2 kg/m³
Density of steel~8,000 kg/m³
Density of concrete~2,400 kg/m³

Energy and Power

QuantityValue
Food calorie (kcal) in joules~4,200 J
Daily human food intake~2,000 kcal = ~8 MJ
Human resting metabolic rate~80 W
A light bulb~10 W (LED)
A desktop PC~200–400 W
A car engine~100 kW
World energy consumption~6 × 10²⁰ J/year ≈ 2 × 10¹³ W

Economics

QuantityValue
World GDP~$100 trillion
India GDP~$3.5 trillion
USA GDP~$25 trillion
India GDP per capita~$2,500
World GDP per capita~$12,000
Median Indian monthly salary~₹25,000

Information

QuantityValue
Average webpage size~2 MB
A 2-hour HD movie~4–8 GB
Human genome~3 GB (as raw base pairs)
Internet traffic per day~500 exabytes
Words in a novel~80,000–100,000
Words a person speaks per day~16,000

How to Use Them

Fermi questions are rarely about the landmark numbers directly — they’re about building a chain from what you know to what you don’t. A good landmark set lets you enter that chain at multiple points.

Example: How many barbers are there in India?

  • Population: 1.4 billion
  • Haircut frequency: once a month → 1.4 billion haircuts/month
  • Haircuts per barber per day: ~15 → per month: ~400
  • Barbers: 1.4 × 10⁹ / 400 ≈ 3.5 million

The estimate lives or dies on two numbers: population (landmark) and haircuts-per-barber (domain knowledge + common sense). The arithmetic is just scaffolding.

The numbers worth memorising are the ones that appear as anchors in the widest variety of chains — population, lifespan, seconds in a year, energy in food, size of Earth.