15104
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 30660
- Proper Divisor Sum (Aliquot Sum)
- 15556
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7424
- Möbius Function
- 0
- Radical
- 118
- Omega Function (Ω)
- 9
- 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
- 40
- 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
- From least significant term in expansion of E( tr (X'*X)^n ), X rectangular and Gaussian. Also number of types of sequential n-swap moves for traveling salesman problem.at n=6A001171
- Number of phylogenetic trees with n labels.at n=6A005640
- Theta series of odd 8-dimensional 5-modular lattice O(5).at n=28A029719
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 61.at n=31A031559
- Number of cubes of primes <= 2^n.at n=52A060969
- Number of ways to tile a 4 X n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=53A068923
- Ordered factorizations over hook-type prime signatures with exactly three distinct primes (third column of A098348).at n=7A098385
- Integers that are Rhonda numbers to base 6.at n=6A100969
- Somos-4 recurrence with a(i)=2^i for 0<=i<=3.at n=8A165904
- Products of the 8th power of a prime and a distinct prime (p^8*q).at n=16A179668
- Number of 7-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions.at n=10A187177
- Triangle read by rows: T(n,k) (n >= 0, 1 <= k <= n+1) are the signed Hultman numbers.at n=21A189507
- Number of non-degenerate fanout-free Boolean functions of n variables using And, Or and Not gates.at n=5A224766
- Values of n such that there are exactly 7 solutions to x^2 - y^2 = n with x > y >= 0.at n=23A257414
- Bihappy numbers: numbers that reach 1 under iteration of the sum-of-squares-of-two-digits map s_2.at n=48A257795
- Partial sums of A263614 starting at n=2.at n=36A263615
- n-th derivative of x^(2*x) at x=1.at n=8A265945
- Number of n X 4 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=3A280476
- T(n,k)=Number of nXk 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=24A280480
- Number of 4Xn 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.at n=3A280483