15476
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 27972
- Proper Divisor Sum (Aliquot Sum)
- 12496
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7488
- Möbius Function
- 0
- Radical
- 7738
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 146
- 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
- Start with 1 and repeatedly reverse the digits and add 55 to get the next term.at n=31A118161
- A vector group determinant sequence in which the next element is made by a sum of the older elements over a six element sl(2,2) vector like 2 X 2 matrix group.at n=8A120495
- First differences of A132581.at n=37A132582
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 0, 1), (1, 0, -1), (1, 0, 0)}.at n=8A150092
- Numerator of Laguerre(n, -3).at n=7A160613
- Augmentation of the triangle A008949. See Comments.at n=26A193603
- Number of -6..6 arrays x(0..n+1) of n+2 elements with zero sum and nonzero second differences.at n=2A200551
- T(n,k)=Number of -k..k arrays x(0..n+1) of n+2 elements with zero sum and nonzero second differences.at n=30A200553
- Number of -n..n arrays x(0..4) of 5 elements with zero sum and nonzero second differences.at n=5A200555
- Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=7A252567
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=35A252574
- Number of (n+1) X (4+1) 0..1 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically.at n=7A253227
- Number of nX5 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=3A280395
- T(n,k) = Number of n X k 0..2 arrays with no element unequal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=31A280398
- 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 one element, and with new values introduced in order 0 sequentially upwards.at n=4A280402
- a(n) = n! * [x^n] exp(x*exp(n*x)).at n=5A295552
- Number of 8-element subsets of [n] whose sum is a triangular number.at n=13A320854
- Expansion of Sum_{k>=1} x^k*(1 + x^k)/(1 - x^k)^4.at n=33A320941
- Number of compositions (ordered partitions) of n into distinct decimal palindromes.at n=29A338847
- Lexicographically earliest sequence of nonnegative integers such that two distinct terms differ by at least 4 decimal digits.at n=15A346000