12032
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 24528
- Proper Divisor Sum (Aliquot Sum)
- 12496
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5888
- Möbius Function
- 0
- Radical
- 94
- Omega Function (Ω)
- 9
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 112
- 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
- Numerators of coefficients of Green function for cubic lattice.at n=5A003301
- Expansion of e.g.f. cos(x)/cos(tan(x)), even powers only.at n=4A009106
- Expansion of e.g.f.: exp(x)/cosh(tanh(x)).at n=8A009298
- Expansion of e.g.f. tanh(tanh(x)*tan(x)) (even powers only).at n=2A012673
- Duplicate of A012673.at n=2A024344
- Number of partitions of n into parts not of the form 9k, 9k+2 or 9k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 3 are greater than 1.at n=46A035941
- Numbers whose base-4 representation contains exactly four 0's and two 3's.at n=34A045083
- Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order.at n=38A058952
- Multiples of 8 with digit sum 8.at n=34A069543
- Numbers divisible by twice the sum of the products of each of their digits, excluding even multiples of 10.at n=31A085446
- Third column of A059450.at n=10A086866
- a(n) = 2^n*Lucas(n), where Lucas = A000032.at n=8A087131
- Number of primitive polynomials of degree n over GF(4) with trace 1.at n=8A102667
- a(n) = 2^(n - 2)*(binomial(n,2) + 2).at n=9A104270
- Quaternary emirpimes.at n=37A114015
- Integers k such that k + phi(k) + phi(phi(k)) is a fourth power.at n=10A116041
- Record values in A003415 (arithmetic derivative).at n=25A131116
- 4 times octagonal numbers: a(n) = 4*n*(3*n-2).at n=32A153794
- a(n) = 2^(floor(n/2))+2^(floor(n/2)-1)-2^(floor((n-1)/3)).at n=25A170831
- a(n) = 2^(floor(n/2))+2^(floor(n/2)-1)-2^(floor((n-1)/3)).at n=24A170831