888
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- yes
- Repdigit
- yes
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2280
- Proper Divisor Sum (Aliquot Sum)
- 1392
- 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
- 288
- Möbius Function
- 0
- Radical
- 222
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 72
- 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
- achthundertachtundachtzig· ordinal: achthundertachtundachtzigste
- English
- eight hundred eighty-eight· ordinal: eight hundred eighty-eighth
- Spanish
- ochocientos ochenta y ocho· ordinal: 888º
- French
- huit cent quatre-vingt-huit· ordinal: huit cent quatre-vingt-huitième
- Italian
- ottocentoottantotto· ordinal: 888º
- Latin
- octingenti octoginta octo· ordinal: 888.
- Portuguese
- oitocentos e oitenta e oito· ordinal: 888º
Appears in sequences
- Number of trees with n nodes, 3 of which are labeled.at n=4A000269
- Number of partitions into non-integral powers.at n=6A000345
- Strobogrammatic numbers: the same upside down.at n=15A000787
- a(n+3) = a(n+2) + a(n+1) + a(n) - 4.at n=12A000803
- Triangle read by rows: T(n,k) = number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1.at n=24A001100
- Numbers in which every digit contains at least one loop (version 1).at n=42A001743
- a(n) = 8*(10^n - 1)/9.at n=3A002282
- Number of n-node graphs without isolated nodes.at n=7A002494
- Smallest number requiring n chisel strokes for its representation in Roman numerals.at n=21A002964
- Number of certain self-avoiding walks with n steps on square lattice (see reference for precise definition).at n=12A002976
- Low-temperature series in y = exp(2J/kT) for antiferromagnetic susceptibility for the Ising model on honeycomb structure.at n=9A002978
- Smallest multiple of n whose digits sum to n.at n=24A002998
- a(1) = 1; for n>1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=41A003508
- Rook polynomials.at n=10A004306
- Numbers with mirror symmetry about middle.at n=10A006072
- Cald's sequence: a(n+1) = a(n) - prime(n) if that value is positive and new, otherwise a(n) + prime(n) if new, otherwise 0; start with a(1)=1.at n=110A006509
- Theta series of laminated lattice LAMBDA_13^{min}.at n=2A006915
- Numbers k such that sigma(x) = k has exactly 3 solutions.at n=22A007372
- Numbers k such that k!! - 1 is prime.at n=14A007749
- Coordination sequence T3 for Zeolite Code EPI.at n=19A008092