12141
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 6579
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7560
- Möbius Function
- 0
- Radical
- 4047
- 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
- yes
- 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
- a(n) = floor(n*(n+2)*(2*n-1)/8).at n=35A007518
- Numbers k such that sigma(k) = sigma(k+13).at n=6A015883
- Molien series for 3-D group R4.at n=17A037243
- T(n,n-4), where T is the array in A055830.at n=37A055831
- Convoluted convolved Fibonacci numbers G_7^(r).at n=16A089113
- Sign twisted convoluted convolved Fibonacci numbers H_7^(r).at n=16A089114
- Indices of primes in sequence defined by A(0) = 29, A(n) = 10*A(n-1) - 41 for n > 0.at n=9A101960
- Numbers n such that P(13*n) is prime, where P(n) is the unrestricted partition number.at n=13A113518
- Composite numbers whose product of digits is 8.at n=36A201056
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant in {-1,0,1}.at n=34A209993
- Number of different straight line programs of length n.at n=5A219906
- Number of distinct lines passing through at least two points in a triangular grid of side n.at n=19A244504
- Expansion of Sum_{k>=1} (-1 + Product_{j>=2} 1 / (1 - x^(k*j))).at n=43A329435