856
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1620
- Proper Divisor Sum (Aliquot Sum)
- 764
- 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
- 424
- Möbius Function
- 0
- Radical
- 214
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 103
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- achthundertsechsundfünfzig· ordinal: achthundertsechsundfünfzigste
- English
- eight hundred fifty-six· ordinal: eight hundred fifty-sixth
- Spanish
- ochocientos cincuenta y seis· ordinal: 856º
- French
- huit cent cinquante-six· ordinal: huit cent cinquante-sixième
- Italian
- ottocentocinquantasei· ordinal: 856º
- Latin
- octingenti quinquaginta sex· ordinal: 856.
- Portuguese
- oitocentos e cinquenta e seis· ordinal: 856º
Appears in sequences
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=16A001106
- Number of unrooted hexagonal polyominoes with n cells and no reflections allowed.at n=7A002214
- Number of driving-point impedances of an n-terminal network.at n=6A003128
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=18A005891
- Generalized Fibonacci numbers A_{n,2}.at n=23A006207
- Expansion of a cusp form of weight 8 for Gamma_1(6).at n=7A006354
- Number of unlabeled disconnected series-parallel posets with n nodes.at n=7A007454
- Coordination sequence T5 for Zeolite Code BOG.at n=21A008053
- Coordination sequence T6 for Zeolite Code MFS.at n=18A008178
- Number of 3 X 3 symmetric stochastic matrices under row and column permutations.at n=36A008764
- a(n) is the concatenation of n and 7n.at n=7A009441
- List of totally balanced sequences of 2n binary digits written in base 10. Binary expansion of each term contains n 0's and n 1's and reading from left to right (the most significant to the least significant bit), the number of 0's never exceeds the number of 1's.at n=46A014486
- Number of 6's in all the partitions of n into distinct parts.at n=46A015741
- Number of partitions of n into distinct parts, none being 6.at n=41A015753
- Numbers k such that phi(k) + 10 | sigma(k + 10).at n=25A015789
- Divisors of 856.at n=7A018686
- Numbers k such that the continued fraction for sqrt(k) has period 26.at n=12A020365
- Fibonacci sequence beginning 1, 9.at n=11A022099
- Place where n-th 1 occurs in A023115.at n=48A022776
- a(n) = a(n-1) + c(n-1) for n >= 2, a( ) increasing, given a(1)=5; where c( ) is complement of a( ).at n=36A022937