12509
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14304
- Proper Divisor Sum (Aliquot Sum)
- 1795
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10716
- Möbius Function
- 1
- Radical
- 12509
- Omega Function (Ω)
- 2
- 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
- 156
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=36A020433
- Floor(exp(10/11)*n!).at n=6A030938
- Numbers whose base-5 representation contains exactly three 0's and two 4's.at n=34A045216
- a(n) = (9*n^2 - 5*n + 2)/2.at n=53A140064
- Augmentation of the triangle A193596. See Comments.at n=43A193597
- Number of n X 1 0..3 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor.at n=43A201618
- Number of (w,x,y,z) with all terms in {1,...,n} and 2w+2x=3y+3z.at n=39A212567
- Numbers k such that k*14^k + 1 is prime.at n=11A242197
- Number of set partitions of [n] having the maximal possible number of pairs (m,m+1) such that m+1 is in some block b and m is in block b+1.at n=48A270967
- Expansion of Product_{k>=1} (1/(1 - x^k))^(sigma_0(k)^2).at n=13A301747
- Number of partitions of the (n+2)-multiset {0,...,0,1,2} with n 0's into distinct multisets.at n=29A346822
- Non-Brauer numbers.at n=0A349044
- a(n) is the number of partitions of n in which no part is divisible by 3 minus the number of basis partitions of n.at n=50A350636