11178
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 26208
- Proper Divisor Sum (Aliquot Sum)
- 15030
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3564
- Möbius Function
- 0
- Radical
- 138
- Omega Function (Ω)
- 7
- 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
- 37
- Smith Number
- no
- Vampire 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
Appears in sequences
- Number of partitions of at most n into at most 5 parts.at n=36A002622
- Expansion of Jacobi theta constant (theta_2/2)^24.at n=4A014809
- Number of cyclic multigraphs on n labeled edges (with loops).at n=5A020563
- a(n) = n*3^n*(4*n - 1)/9.at n=6A086951
- a(n) = -a(n-1) - a(n-2) + a(n-3) - a(n-5).at n=28A089134
- Number of permutations of length n which avoid the patterns 1234, 2431, 4312.at n=12A116765
- Numbers n such that twice the sum of the prime factors of n equals the product of the digits of n.at n=22A125309
- First differences of A140495.at n=36A142716
- Shifts 3 places left under Dirichlet convolution.at n=38A144367
- Expansion of (psi(x)^24 + psi(-x)^24) / 2 in powers of x^2 where psi() is a Ramanujan theta function.at n=2A169976
- Number of ways to arrange 2 nonattacking knights on the lower triangle of an n X n board.at n=16A194486
- Smallest possible largest number in a 3 by n average array where repetitions are not allowed without diagonals.at n=6A195753
- Walks of length n on the x-axis using steps {1,-1} and visiting no point more than twice.at n=24A212585
- Number of 0..n arrays of length 5 with each element differing from at least one neighbor by 1 or less.at n=14A221597
- Number of acute triangles, distinct up to congruence, on a centered hexagonal grid of size n.at n=13A241232
- Number of ways 2 domicules can be placed on an n X n square.at n=7A243464
- Number of subsets of {1,...,n} containing n and having at least one set partition into 7 blocks with equal element sum.at n=9A248116
- Numbers k such that 6*5^k - 1 is prime.at n=20A257790
- Expansion of Product_{k>=1} ((1 + 3*x^k) / (1 + x^k)).at n=49A268499
- Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 243", based on the 5-celled von Neumann neighborhood.at n=13A280148