12932
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23436
- Proper Divisor Sum (Aliquot Sum)
- 10504
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6240
- Möbius Function
- 0
- Radical
- 6466
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 169
- 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
- a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = a(3) = 1.at n=16A049885
- Number of directed EG-convex polyominoes on the honeycomb lattice with given semiperimeter.at n=15A053151
- McKay-Thompson series of class 20F for Monster.at n=22A058555
- a(n)=x is the first term in chain of consecutive integers, for all of which the value of sigma[x] is divisible by 6.at n=24A097016
- a(n)=x is the first term in chain of consecutive integers, for all of which the value of sigma[x] is divisible by 6.at n=25A097016
- a(n)=x is the first term in chain of consecutive integers, for all of which the value of sigma[x] is divisible by 6.at n=26A097016
- a(n)=x is the first term in chain of consecutive integers, for all of which the value of sigma[x] is divisible by 6.at n=27A097016
- a(n)=x is the first term in chain of consecutive integers, for all of which the value of sigma[x] is divisible by 6.at n=28A097016
- Number of permutations of length n which avoid the patterns 2134, 3421, 4312.at n=13A116766
- a(0)=0, a(1)=1; and a(n) = a(n-1) + a(a(n-1) mod n) for n>=2.at n=46A125204
- Row sums of triangle A145973.at n=12A145974
- Triangle read by rows, coefficients T(n,k) of polynomials related to the Bell polynomials, for n>=0 and 0<=k<=n.at n=49A257563
- Numbers k such that 4*10^k - 89 is prime.at n=15A290475
- Expansion of (eta(q^4) * eta(q^5) / (eta(q) * eta(q^20)))^2 in powers of q.at n=22A298107
- Expansion of 1/q * chi(q) * chi(q^5) * chi(-q^20)^2 / chi(-q)^2 in powers of q where chi() is a Ramanujan theta function.at n=22A298116
- Floor of area of quadrilateral with consecutive prime sides configured as a cyclic quadrilateral.at n=27A329950
- Numbers that are the sum of eight fourth powers in seven or more ways.at n=16A345582
- Numbers that are the sum of eight fourth powers in exactly seven ways.at n=16A345839
- Number of length-n binary strings that are the concatenation of two nonempty palindromes.at n=17A370410