12150
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
- 36
- Divisor Sum
- 33852
- Proper Divisor Sum (Aliquot Sum)
- 21702
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3240
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 8
- 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
- 63
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = floor(tau*a(n-1)) + a(n-2) with a(0)=0 and a(1)=1.at n=15A005821
- Expansion of 1/((1-3x)(1-9x)(1-10x)(1-11x)).at n=3A028105
- Number of proper factorizations of p1^n*p2^4, where p1 and p2 are distinct primes.at n=15A031127
- Dirichlet convolution of squares with themselves.at n=44A034714
- Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*9^j.at n=12A038251
- Triangle whose (i,j)-th entry is binomial(i,j)*9^(i-j)*5^j.at n=12A038295
- Numbers k such that 231*2^k-1 is prime.at n=44A050867
- McKay-Thompson series of class 42b for Monster.at n=50A058676
- Product of sums of divisors and non-divisors.at n=28A066859
- Number of hexagonal regions in regular n-gon with all diagonals drawn.at n=44A067153
- Numbers whose product of exponents is equal to the sum of prime factors.at n=20A071175
- Numbers k such that Omega(k) = Omega(k-1) + Omega(k-2) + Omega(k-3) + Omega(k-4) where Omega(k) denotes the number of prime factors of k, counting multiplicity.at n=14A078095
- Numbers k such that the k-th difference between 2 successive primes equals the squarefree part of k.at n=21A078691
- Floor of area of triangle with consecutive prime sides.at n=37A096377
- Integers that are Rhonda numbers to base 4.at n=2A100968
- Products x*y*z arising from A102495.at n=21A102509
- Number of partitions where no part is a multiple of 9.at n=35A104502
- a(1) = 1, a(n+1) = a(n)/T(n+1), if T(n+1) divides a(n), else a(n+1) = a(n) *T(n+1), where T(n) = n*(n+1)/2 is a triangular number (A000217).at n=10A111465
- Matrix log of triangle A078122, which shifts columns left and up under matrix cube; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=40A111815
- Numbers k for which nontrivial positive magic squares of exactly 9 different orders with magic sum k exist. For a definition of nontrivial positive magic squares, see A125005.at n=16A125016