11655
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 23712
- Proper Divisor Sum (Aliquot Sum)
- 12057
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 3885
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 50
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (8*n+1)*(8*n+7).at n=13A001533
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=25A005231
- Odd primitive abundant numbers.at n=18A006038
- a(n) = floor(n*(n-1)*(n-2)/4).at n=37A011886
- a(n) = n*(17*n + 1)/2.at n=37A022275
- a(n) = n*(19*n + 1)/2.at n=35A022277
- Number of partitions of n into parts not of the form 23k, 23k+9 or 23k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=34A035997
- Numbers ending with '5' that are the difference of two positive cubes.at n=32A038860
- a(n) = n*(16*n^2 - 1).at n=8A069975
- Nonprimes which terminate in their sum of prime factors.at n=37A071173
- Odd primitive numbers such that n! divided by product of factorials of all proper divisors of n is not an integer.at n=14A075460
- Consider recurrence b(0) = (2n+1)/2, b(n) = b(0)*ceiling(b(n-1)); sequence gives first integer reached.at n=21A081849
- A subclass of quasi-acyclic automata with 3 inputs, n transient and k absorbing labeled states.at n=12A082172
- Number of lattice points on or inside the rectangle formed by [1 <= x <= (q-1)/2] and [1 <= y <= (p-1)/2], where p = n-th prime, q = (n-1)-st prime.at n=45A087427
- Number of distinct degree sequences among all n-vertex graphs with no isolated vertices.at n=10A095268
- Numbers k such that 7*10^k + 6*R_k - 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=18A103063
- Unreduced numerators of the elements T(n,k)/(n-k)!, read by rows, of the triangular matrix P^-1, which is the inverse of the matrix defined by P(n,k) = (1-(k+1)^3)^(n-k)/(n-k)! for n >= k >= 1.at n=12A103243
- Denominator of sum of reciprocals of first n pentatope numbers A000332.at n=33A118412
- a(n) = n^3 + 114 * n.at n=20A122562
- Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005.at n=24A125017