88
domain: N
Properties
Digital Properties
- Digit Count
- 2
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- yes
- Repdigit
- yes
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 180
- Proper Divisor Sum (Aliquot Sum)
- 92
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 40
- Möbius Function
- 0
- Radical
- 22
- 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
- 17
- Smith Number
- no
Classification
- Natural
- yes
- Even
- yes
- Odd
- 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
Names
- German
- achtundachtzig· ordinal: achtundachtzigste
- English
- eighty-eight· ordinal: eighty-eighth
- Spanish
- ochenta y ocho· ordinal: 88º
- French
- quatre-vingt-huit· ordinal: quatre-vingt-huitième
- Italian
- ottantotto· ordinal: 88º
- Latin
- octoginta octo· ordinal: 88.
- Portuguese
- oitenta e oito· ordinal: 88º
Appears in sequences
- Number of ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=29A000008
- Let k = p_1^e_1 p_2^e_2 p_3^e_3 ... be the prime factorization of n. Sequence gives k such that the sum of the numbers of 1's in the binary expansions of e_1, e_2, e_3, ... is odd.at n=41A000028
- Numbers that are not squares (or, the nonsquares).at n=78A000037
- 1-digit numbers arranged in alphabetical order, then the 2-digit numbers arranged in alphabetical order, then the 3-digit numbers, etc.at n=12A000052
- Numbers k such that k^4 + 1 is prime.at n=16A000068
- Odious numbers: numbers with an odd number of 1's in their binary expansion.at n=44A000069
- a(n) = Fibonacci(n) - 1.at n=10A000071
- Number of trees of diameter 4.at n=13A000094
- Denumerants: Expansion of 1/((1-x)*(1-x^2)*(1-x^5)).at n=38A000115
- Lower Wythoff sequence (a Beatty sequence): a(n) = floor(n*phi), where phi = (1+sqrt(5))/2 = A001622.at n=54A000201
- Numbers that are the sum of three nonzero squares.at n=56A000408
- Numbers that are the sum of 3 but no fewer nonzero squares.at n=36A000419
- Expansion of 2*x^3/((1-2*x)^2*(1-4*x)).at n=5A000431
- The greedy sequence of integers which avoids 3-term geometric progressions.at n=65A000452
- a(0) = a(1) = 1; thereafter a(n) = sigma(a(n-1)) + sigma(a(n-2)).at n=7A000458
- Strobogrammatic numbers: the same upside down.at n=5A000787
- Total number of 1's in binary expansions of 0, ..., n.at n=35A000788
- Number of switching networks (see Harrison reference for precise definition).at n=1A000826
- Numbers beginning with a vowel in English.at n=12A000852
- Final two digits of 2^n.at n=19A000855