859
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 860
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 858
- Möbius Function
- -1
- Radical
- 859
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 147
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 149
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- achthundertneunundfünfzig· ordinal: achthundertneunundfünfzigste
- English
- eight hundred fifty-nine· ordinal: eight hundred fifty-ninth
- Spanish
- ochocientos cincuenta y nueve· ordinal: 859º
- French
- huit cent cinquante-neuf· ordinal: huit cent cinquante-neufième
- Italian
- ottocentocinquantanove· ordinal: 859º
- Latin
- octingenti quinquaginta novem· ordinal: 859.
- Portuguese
- oitocentos e cinquenta e nove· ordinal: 859º
Appears in sequences
- Number of plane partitions (or planar partitions) of n.at n=11A000219
- Number of paraffins C_n H_{2n} X_2 with n carbon atoms.at n=8A000636
- Primes p of the form 3k+1 such that -sqrt(p) < sum_{x=1..p} cos(2*Pi*x^3/p) < sqrt(p).at n=19A000922
- Irregular table read by rows: row n lists prime factors of 10^n + 1, with multiplicity.at n=33A001271
- Number of integral points in a certain sequence of closed quadrilaterals.at n=43A002579
- Numbers that are the sum of 9 positive 5th powers.at n=31A003354
- Numbers that are the sum of 5 positive 6th powers.at n=8A003361
- a(n) = number of types of conjugacy classes in GL(n,q) (this is independent of q).at n=8A003606
- Divisible only by primes congruent to 4 mod 5.at n=39A004618
- Divisible only by primes congruent to 5 mod 7.at n=37A004623
- Numbers that are the sum of at most 5 nonzero 6th powers.at n=32A004856
- Numbers that are the sum of at most 6 nonzero 6th powers.at n=41A004857
- Class 3- primes (for definition see A005109).at n=44A005111
- a(n) = Fibonacci(n+1) - 2^floor(n/2).at n=15A005672
- Prime-indexed primes: primes with prime subscripts.at n=34A006450
- Greater of twin primes.at n=33A006512
- Smallest primitive factor of 10^n - 1. Also smallest prime p such that 1/p has repeating decimal expansion of period n.at n=25A007138
- Primes == 3 (mod 8).at n=39A007520
- Primes of form 2n^2 - 2n + 19.at n=18A007639
- Smallest odd number expressible in at least n ways as p+2*m^2 where p is 1 or a prime and m >= 0.at n=16A007697