188
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 336
- Proper Divisor Sum (Aliquot Sum)
- 148
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 92
- Möbius Function
- 0
- Radical
- 94
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 106
- 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
- einshundertachtundachtzig· ordinal: einshundertachtundachtzigste
- English
- one hundred eighty-eight· ordinal: one hundred eighty-eighth
- Spanish
- ciento ochenta y ocho· ordinal: 188º
- French
- cent quatre-vingt-huit· ordinal: cent quatre-vingt-huitième
- Italian
- centoottantotto· ordinal: 188º
- Latin
- centum octoginta octo· ordinal: 188.
- Portuguese
- cento e oitenta e oito· ordinal: 188º
Appears in sequences
- Number of n-bead necklaces with 2 colors when turning over is not allowed; also number of output sequences from a simple n-stage cycling shift register; also number of binary irreducible polynomials whose degree divides n.at n=11A000031
- Number of mixed Husimi trees with n nodes; or polygonal cacti with bridges.at n=8A000083
- 2nd power of rooted tree enumerator; number of linear forests of 2 rooted trees.at n=6A000106
- Positive zeros of Bessel function of order 0 rounded to nearest integer.at n=59A000134
- Number of n-node rooted trees of height 8.at n=11A000429
- Genus of complete graph on n nodes.at n=50A000933
- Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways.at n=5A000954
- Image of n under the map n->n/2 if n even, n->3n-1 if n odd.at n=63A001281
- Number of ways of making change for n cents using coins of 1, 2, 5, 10, 20, 50 cents.at n=37A001313
- Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 0.at n=3A001396
- Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 2.at n=2A001397
- High temperature series for spin-1/2 Ising specific heat on 3-dimensional simple cubic lattice, divided by 3.at n=2A001408
- a(n) is the number of c-nets with n+1 vertices and 2n edges, n >= 1.at n=5A001506
- Primes multiplied by 4.at n=14A001749
- A Beatty sequence: floor(n * (sqrt(5) + 3)).at n=35A001962
- Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=11A001976
- Numbers congruent to {2, 4, 8, 16} (mod 20).at n=38A002081
- a(n) = Sum_{t=0..n} g(t)*g(n-t) where g(t) = A002121(t).at n=21A002122
- Number of partitions of n with exactly two part sizes.at n=31A002133
- Numbers m such that m^2 + m + 1 is prime.at n=53A002384