15183
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
- 12
- Divisor Sum
- 25168
- Proper Divisor Sum (Aliquot Sum)
- 9985
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8640
- Möbius Function
- 0
- Radical
- 5061
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 177
- 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
- Related to enumeration of edge-rooted catafusenes.at n=15A039658
- a(n) = Sum_{k=1..n} C(n,k)^3 where C(n,k) is binomial(n,k).at n=5A096191
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k UDL's (n >= 0; 0 <= k <= floor((n+1)/2)).at n=21A128728
- Number of skew Dyck paths of semilength n with no UDL's.at n=9A128729
- Weight distribution of [63,16,23] primitive binary BCH code.at n=31A151721
- Weight distribution of [63,16,23] primitive binary BCH code.at n=32A151721
- Weight distribution of [63,18,21] primitive binary BCH code.at n=31A151722
- Weight distribution of [63,18,21] primitive binary BCH code.at n=32A151722
- Number of (n+3) X 8 0..1 matrices with each 4 X 4 subblock idempotent.at n=14A224565
- Engel expansion of the positive root of x^x^x^x = 2.at n=13A225208
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 454", based on the 5-celled von Neumann neighborhood.at n=38A272278
- G.f. satisfies: A(x)^2 = A( x^2/(1 - 4*x + 2*x^2) ).at n=8A274484
- a(n) = floor((2^prime(n+1))/Sum_{k=0|n,2^prime(k)}).at n=65A289898
- Number of nX3 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=7A302724
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=52A302728
- Number of nonequivalent minimal total dominating sets in the n-cycle graph up to rotation.at n=47A302918