Number analysis
111
111 is a composite odd number that factors as 3 × 37.
111 is a composite odd number that factors as 3 × 37.
The number itself
- Value
- 111
- Digits
- 3
- Digit sum
- 3
- Reversed
- 111
- Palindrome
- Yes
1 + 1 + 1
Digit sum repeated until one digit remains; equals n mod 9 (with 9 for multiples of 9).
Reads the same in both directions.
Parity and primality
- Parity
- Odd
- Prime
- No
- Prime factorisation
- 3 × 37
- Squarefree
- Yes
- Semiprime
- Yes
- Möbius μ(n)
- 1
- Nearest primes
- 109 ← → 113
Leaves remainder 1 on division by 2.
Composite — it factors as 3 × 37.
2 distinct prime factors, 2 with multiplicity.
No prime divides it twice.
A product of exactly two primes, counted with multiplicity.
(−1) to the power of 2 distinct prime factors.
A gap of 4 between them.
Divisors
- Aliquot sum
- 41
- Classification
- Deficient
1, 3, 37, 111
The proper divisors — everything except n itself.
Its proper divisors fall short by 70.
How many integers from 1 to n share no factor with n.
Sums and additive structure
- Sum of two squares
- No
- Sum of three squares
- No
- Sum of four squares
- Yes
A prime congruent to 3 mod 4 divides it an odd number of times, which rules it out.
Excluded by Legendre: it has the form 4^a(8b + 7).
Lagrange's four-square theorem: every non-negative integer is, without exception.
Shapes and sequences
- Figurate shapes
- None
Not triangular, square, pentagonal, hexagonal, cubic, Fibonacci, Lucas, Catalan, factorial or a power of two.
Digit curiosities
- Happy number
- No
- Harshad number
- Yes
- Collatz trajectory
- 69 steps to 1
Summing the squares of its digits falls into the 4 → 16 → 37 → … → 4 cycle.
Divisible by its digit sum 3 — 111 ÷ 3 = 37.
Peaks at 9,232 along the way.
Written other ways
- Binary
- 1101111
- Octal
- 157
- Hexadecimal
- 6F
- Base 36
- 33
- Roman numerals
- CXI
- In words
- one hundred and eleven
- Scientific notation
- 1.11 × 10^2
Is 111 a prime number?
Composite — it factors as 3 × 37.
Nearby numbers
Other numeral systems
Beyond the bases and Roman numerals above, these notations write 111 their own way.
- Morse code
- · − − − − · − − − − · − − − −
- Devanagari
- १११
- Tamil
- ௱௰௧
- Thai
- ๑๑๑
References
Further reading: Wikipedia · Wikidata
Notations, naming and the links above come from Wikidata, whose structured data is dedicated to the public domain under CC0-1.0. Retrieved 2026-10-07.