12065
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
- 8
- Divisor Sum
- 15360
- Proper Divisor Sum (Aliquot Sum)
- 3295
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9072
- Möbius Function
- -1
- Radical
- 12065
- Omega Function (Ω)
- 3
- 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
- 50
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- cosh(arctan(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+17/4!*x^4+20/5!*x^5...at n=10A012417
- a(n) = (3*n - 1)*(4*n - 1).at n=32A033578
- Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n.at n=2A097696
- Number of permutations of length n which avoid the patterns 3421, 4123, 4213.at n=8A116743
- Self-convolution of A173610.at n=10A173611
- Number of acute triangles, distinct up to congruence, on an n X n grid (or geoboard).at n=21A190021
- Partial sums of A160239.at n=43A245542
- Molien series for invariants of finite Coxeter group A_7.at n=67A266776
- Number of connected dominating sets in the n-gear graph.at n=7A287431
- Numbers k such that the coefficient of x^k in the expansion of Product_{m >= 1} (1-x^m)^15 is zero.at n=7A322043
- Numbers m such that d(1)^0 + d(2)^1 + ... + d(k)^(k-1) = d(1)! + d(2)! + ... + d(k)!, where d(i), i=1..k, are the digits of m.at n=37A342944
- Numbers k such that gcd(2*k^7+1, 3*k^3+2) > 1.at n=10A369153