872
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1650
- Proper Divisor Sum (Aliquot Sum)
- 778
- 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
- 432
- Möbius Function
- 0
- Radical
- 218
- 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
- 116
- 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
- achthundertzweiundsiebzig· ordinal: achthundertzweiundsiebzigste
- English
- eight hundred seventy-two· ordinal: eight hundred seventy-second
- Spanish
- ochocientos setenta y dos· ordinal: 872º
- French
- huit cent soixante-douze· ordinal: huit cent soixante-douzième
- Italian
- ottocentosettantadue· ordinal: 872º
- Latin
- octingenti septuaginta duo· ordinal: 872.
- Portuguese
- oitocentos e setenta e dois· ordinal: 872º
Appears in sequences
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=27A000232
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=25A000232
- Restricted permutations.at n=10A000496
- Narayana's cows sequence: a(0) = a(1) = a(2) = 1; thereafter a(n) = a(n-1) + a(n-3).at n=19A000930
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=33A001182
- Expansion of 1/((1-x^2)*(1-x^4)^2*(1-x^6)*(1-x^8)*(1-x^10)) (even powers only).at n=22A001994
- Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's.at n=19A002597
- Numbers k such that k! + 1 is prime.at n=16A002981
- Number of (undirected) Hamiltonian paths in the n-ladder graph K_2 X P_n.at n=29A003682
- a(n) = ceiling(n*phi^7), where phi is the golden ratio, A001622.at n=30A004962
- Number of shapes of height-balanced AVL trees with n nodes.at n=14A006265
- Number of unlabeled strength 3 Eulerian graphs with n nodes.at n=4A007128
- Coordination sequence T2 for Zeolite Code LAU.at n=21A008125
- Coordination sequence T7 for Zeolite Code MEL.at n=19A008156
- Coordination sequence T1 for Cordierite.at n=18A008251
- Number of Costas arrays of order n, counting rotations and flips as distinct.at n=22A008404
- Expansion of (1+x^7)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=38A008768
- Expansion of e.g.f. exp(tan(x)^2) (even powers only).at n=3A009256
- If a, b in sequence, so is ab+8.at n=9A009331
- a(n) is the concatenation of n and 9n.at n=7A009474