12775
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18352
- Proper Divisor Sum (Aliquot Sum)
- 5577
- 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
- 2555
- 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
- 156
- 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
- Pseudoprimes to base 74.at n=42A020202
- Expansion of Product_{m>=1} 1/(1 - m*q^m)^5.at n=7A022729
- a(n) = T(n, 2n-3), T given by A027023.at n=9A027027
- a(n) = greatest number in row n of array T given by A027023.at n=11A027039
- Expansion of 1/(1-5x*c(6x)), where c(x) is the g.f. of A000108.at n=4A132865
- 7 times octagonal numbers: a(n) = 7*n*(3*n-2).at n=25A153797
- Number of partitions p of n such that (number of numbers of the form 5k + 4 in p) is a part of p.at n=38A241553
- Positions of squares in A276573.at n=39A277014
- Function of natural numbers satisfying the properties a(2*n) = 2*a(n) and a(2*n+1) = -3 + 2*a(3*n+2).at n=19A309154
- Inverse Mobius transformation of A338164.at n=49A360428
- G.f. satisfies A(x) = 1/(1-x) + x^2*(1-x)*A(x)^4.at n=10A364594
- a(n) = a(n-3) + a(n-2) + gcd(a(n-2), a(n-1)) with a(1) = a(2) = a(3) = 1.at n=31A370202