Number analysis
142,857
The cyclic number: its multiples up to 6 are its own digits rotated.
The cyclic number: its multiples up to 6 are its own digits rotated.
The number itself
- Value
- 142,857
- Digits
- 6
- Digit sum
- 27
- Reversed
- 758,241
- Palindrome
- No
1 + 4 + 2 + 8 + 5 + 7
Digit sum repeated until one digit remains; equals n mod 9 (with 9 for multiples of 9).
Reverses to 758,241.
Parity and primality
- Parity
- Odd
- Prime
- No
- Prime factorisation
- 3^3 × 11 × 13 × 37
- Squarefree
- No
- Möbius μ(n)
- 0
- Nearest primes
- 142,841 ← → 142,867
Leaves remainder 1 on division by 2.
Composite — it factors as 3^3 × 11 × 13 × 37.
4 distinct prime factors, 6 with multiplicity.
At least one prime appears squared.
Zero, because a squared prime divides n.
A gap of 26 between them.
Divisors
- Sum of divisors σ(n)
- 255,360
- Aliquot sum
- 112,503
- Classification
- Deficient
- Euler totient φ(n)
- 77,760
1, 3, 9, 11, 13, 27, 33, 37, 39, 99, 111, 117, 143, 297, 333, 351, 407, 429, 481, 999, … (12 more)
The proper divisors — everything except n itself.
Its proper divisors fall short by 30,354.
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
- Yes
- Sum of four squares
- Yes
A prime congruent to 3 mod 4 divides it an odd number of times, which rules it out.
Legendre's three-square theorem allows it.
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
- Kaprekar number
- Yes
- Collatz trajectory
- 126 steps to 1
Summing the squares of its digits falls into the 4 → 16 → 37 → … → 4 cycle.
Divisible by its digit sum 27 — 142,857 ÷ 27 = 5,291.
Peaks at 723,220 along the way.
Written other ways
- Binary
- 100010111000001001
- Octal
- 427011
- Hexadecimal
- 22E09
- Base 36
- 3289
- In words
- one hundred and forty-two thousand eight hundred and fifty-seven
- Scientific notation
- 1.42857 × 10^5
Standard Roman numerals only run from 1 to 3,999.
Is 142,857 a prime number?
Composite — it factors as 3^3 × 11 × 13 × 37.
Nearby numbers
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.