882
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 2223
- Proper Divisor Sum (Aliquot Sum)
- 1341
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 252
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 28
- 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
- achthundertzweiundachtzig· ordinal: achthundertzweiundachtzigste
- English
- eight hundred eighty-two· ordinal: eight hundred eighty-second
- Spanish
- ochocientos ochenta y dos· ordinal: 882º
- French
- huit cent quatre-vingt-deux· ordinal: huit cent quatre-vingt-deuxième
- Italian
- ottocentoottantadue· ordinal: 882º
- Latin
- octingenti octoginta duo· ordinal: 882.
- Portuguese
- oitocentos e oitenta e dois· ordinal: 882º
Appears in sequences
- Coefficient of x^5 in expansion of (1 + x + x^2)^n.at n=6A000574
- Number of solutions to the rook problem on a 2n X 2n board having a certain symmetry group (see Robinson for details).at n=4A000901
- a(n) = ceiling(n^2/2).at n=42A000982
- Numbers k such that k / (sum of digits of k) is a square.at n=37A001102
- a(n) = 2*n^2.at n=21A001105
- Coefficients of Laguerre polynomials.at n=2A001812
- Absolute value of coefficients of an elliptic function.at n=5A001940
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=53A002088
- Value of an urn with n balls of type -1 and n+1 balls of type +1.at n=5A003126
- Numbers which are the sum of 3 nonzero 4th powers.at n=26A003337
- Numbers that are a sum of distinct positive cubes in more than one way.at n=25A003998
- Sums of distinct nonzero 4th powers.at n=24A003999
- Numbers that are the sum of at most 3 nonzero 4th powers.at n=46A004832
- a(n) = a(n-1) + a(n-6), with a(i) = 1 for i = 0..5.at n=30A005708
- a(n) = floor(phi*a(n-1)) + a(n-2) where phi is the golden ratio.at n=9A005830
- Number of entries in first n rows of Pascal's triangle not divisible by 3.at n=69A006048
- Number of tree-rooted planar maps with 3 faces and n vertices and no isthmuses.at n=5A006470
- From a partition of the integers.at n=20A006628
- Exponentiation of g.f. for Pell numbers.at n=6A006669
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=17A007332