13936
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 29512
- Proper Divisor Sum (Aliquot Sum)
- 15576
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- 0
- Radical
- 1742
- Omega Function (Ω)
- 6
- 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
- 182
- 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
- Self-convolution of natural numbers >= 3.at n=38A023551
- Revert transform of (1 - 3x + 2x^2 + x^3)/(1 - 2x + 2x^3).at n=9A049138
- Expansion of (1-2x^2)/(1-2x-2x^2+2x^3).at n=11A052987
- Expansion of (1+x^2*C)*C^3, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=8A071718
- Numbers n such that 6*10^n-7 is prime.at n=19A103025
- This is to A139026 as A139026 to A139025, see A139025 for details.at n=4A139027
- Number of binary words of length n containing at least one subword 10^{8}1 and no subwords 10^{i}1 with i<8.at n=50A143288
- Floor(1/{(7+n^4)^(1/4)}), where {}=fractional part.at n=28A184631
- a(k) such that A225258 column k of T(n,k) = n*k^3 - a(k) for large n.at n=31A225263
- Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having the sum of the absolute values of the edge differences equal to 10 and no adjacent elements equal.at n=1A234147
- T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with every 2X2 subblock having the sum of the absolute values of the edge differences equal to 10 and no adjacent elements equal.at n=4A234152
- Numbers k such that (23*10^k + 91)/3 is prime.at n=26A271645
- Numbers n such that the decimal number concat(9,n) is a square.at n=22A273364
- Numerators of the Harary index for the n-halved cube graph.at n=7A290347
- a(n) is the number of integer partitions of n for which the rank is equal to the index of the seaweed algebra formed by the integer partition paired with its weight.at n=54A318205
- G.f.: Sum_{n>=0} x^n * (x^n + i)^n / (1 + i*x^(n+1))^(n+1), where i^2 = -1.at n=75A323675
- Starts of runs of 3 consecutive positive negaFibonacci-Niven numbers (A331085).at n=34A331087