15044
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 26334
- Proper Divisor Sum (Aliquot Sum)
- 11290
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7520
- Möbius Function
- 0
- Radical
- 7522
- Omega Function (Ω)
- 3
- 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
- 40
- 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
- McKay-Thompson series of class 36g for the Monster group.at n=43A103262
- a(1) = 0; a(2) = a(3) = 1; for n > 3: a(n) = 16*a(n-2)+14*a(n-3).at n=8A129617
- Related to the minimal number of periodic orbits of periods guaranteed by Sharkovskii's theorem.at n=35A130628
- Number of compositions of n into parts with multiplicity not larger than 7.at n=15A243085
- a(n) = p(2*n)-p(2*n-2)-p(n) where p(n) are the partition numbers A000041(n).at n=20A263847
- The difference between the number of partitions of 2n into odd parts (A000009) and the number of partitions of 2n into even parts (A035363).at n=35A282893
- G.f.: (Sum_{k>=1} x^k/(1-x^k) * Product_{k>=1} 1/(1-x^k) )^2.at n=13A305120
- Expansion of Product_{k>0} 1/(Sum_{m>=0} x^(k*m^2)).at n=46A320119
- Numbers that are the sum of nine fourth powers in ten or more ways.at n=19A345594