142,857
142,857 is a cyclic number: multiplying it by 1 through 6 produces the same digits in the same order, rotated.
- Odd
- Composite
Where 142,857 fits
Why 142,857 is special
142857 is the repeating block of 1/7, and it behaves like a wheel. Multiply by 2 and you get 285714; by 3, 428571 — the same six digits, started at a different point. Multiply by 7 and the pattern breaks into 999999, which is the reason it works at all. It is the smallest cyclic number, and every one after it comes from a similar prime reciprocal.
Factors & digit properties
- Divisors (32)
- 1, 3, 9, 11, 13, 27, 33, 37, 39, 99, 111, 117, 143, 297, 333, 351, 407, 429, 481, 999, 1221, 1287, 1443, 3663, 3861, 4329, 5291, 10989, 12987, 15873, 47619, 142857
- Prime factorisation
- 3^3 × 11 × 13 × 37
- Digit sum
- 27
- Digital root
- 9
Representations
- Decimal
- 142857
- Scientific notation
- 1.429 × 10^5
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 0 0 1
1 × 131,072 + 0 × 65,536 + 0 × 32,768 + 0 × 16,384 + 1 × 8,192 + 0 × 4,096 + 1 × 2,048 + 1 × 1,024 + 1 × 512 + 0 × 256 + 0 × 128 + 0 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 142,857
Octal
4 2 7 0 1 1
4 × 32,768 + 2 × 4,096 + 7 × 512 + 0 × 64 + 1 × 8 + 1 × 1 = 142,857
Hexadecimal
2 2 e 0 9
2 × 65,536 + 2 × 4,096 + e × 256 + 0 × 16 + 9 × 1 = 142,857
Read as powers of two: 131,072 + 8,192 + 2,048 + 1,024 + 512 + 8 + 1 = 142,857.
In historical numeral systems
Egyptian
1 tadpole, 4 fingers, 2 lotuses, 8 coils of rope, 5 hobbles, 7 strokes
1 × 100,000 + 4 × 10,000 + 2 × 1,000 + 8 × 100 + 5 × 10 + 7 × 1 = 142,857. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Deficient number
- Kaprekar number
- Harshad (Niven) number
Mathematics
142857 is the repeating block of 1/7. Multiplying by 2, 3, 4, 5 or 6 gives the same six digits starting at a different position, and multiplying by 7 gives 999999 — which is the reason for the whole effect, since 1/7 × 7 must return to a string of nines. It is the smallest cyclic number.
DocumentedMathematics
Common questions
Is 142,857 a prime number?
No, 142,857 is not prime.
What are the factors of 142,857?
The factors of 142,857 are 1, 3, 9, 11, 13, 27, 33, 37, 39, 99, 111, 117, 143, 297, 333, 351, 407, 429, 481, 999, 1221, 1287, 1443, 3663, 3861, 4329, 5291, 10989, 12987, 15873, 47619, 142857.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026