13153
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15040
- Proper Divisor Sum (Aliquot Sum)
- 1887
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11268
- Möbius Function
- 1
- Radical
- 13153
- Omega Function (Ω)
- 2
- 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
- 99
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Fibonacci sequence beginning 2, 7.at n=17A022113
- Number of 7's in all partitions of n.at n=39A024791
- Surround numbers of a length 2n zig-zag.at n=32A060641
- a(0)=2, a(1)=5, a(n+2) = a(n+1) + (-1)^n a(n).at n=34A095795
- a(0)=2, a(1)=5, a(n+2) = a(n+1) + (-1)^n a(n).at n=37A095795
- Expansion of (1 - 3x)/(1 - x + 2x^2 - x^3).at n=31A119303
- Euler transform of A051064, the ruler function sequence for k=3.at n=28A173241
- Smooth Lyndon words with 3 colors.at n=13A215328
- G.f.: A(x) = 1 + x*A(x)^3 / ( A(I*x)*A(-I*x) ), where I^2 = -1.at n=7A216681
- Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 195", based on the 5-celled von Neumann neighborhood.at n=6A270690
- Numbers k such that A264097(k) = A264098(k), so : A264097(k)*2^k-1 and A264098(k)*2^k+1 are twin primes.at n=21A282428