12112
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 23498
- Proper Divisor Sum (Aliquot Sum)
- 11386
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6048
- Möbius Function
- 0
- Radical
- 1514
- Omega Function (Ω)
- 5
- 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
- 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
- Number of ways of writing n as a sum of 8 squares.at n=9A000143
- Primes in ternary.at n=34A001363
- Theta series of E_8 lattice with respect to deep hole.at n=8A004017
- Numbers that contain only 1's and 2's. Nonempty binary strings of length n in lexicographic order.at n=39A007931
- Theta series of {D_8}* lattice.at n=9A008427
- Expansion of e.g.f. tan(sinh(x)*cos(x)), odd powers only.at n=4A009685
- Base-3 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,1.at n=8A037536
- Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,2,1.at n=4A037543
- Numbers k such that k is a substring of its base-3 representation.at n=18A038103
- Numerators of continued fraction convergents to sqrt(118).at n=6A041214
- Theta series of D8 lattice with respect to midpoint of edge.at n=11A045820
- Low-temperature susceptibility expansion for square lattice (Potts model, q=3).at n=9A057375
- Coefficients of monic irreducible polynomials over GF(3) listed in lexicographic order.at n=29A058944
- Coefficients of monic primitive irreducible polynomials over GF(3) listed in lexicographic order.at n=13A058949
- Coefficients of irreducible polynomials over GF(3) listed in lexicographic order.at n=32A065020
- Integers whose decimal expansion start with 1, do not contain zeros and each successive digit to the right is at most one greater than the previous digit.at n=37A071159
- Numbers in base -3.at n=35A073785
- Least number 2k such that p^2 divides the numerator of the Bernoulli number B(2k), where p is the n-th irregular prime, A000928(n).at n=5A092681
- a(0) = 1; for n>0, a(n) = 16 times sum of cubes of divisors of n.at n=9A092820
- Numbers k (with no zero digits) with property that k raised to the product of its digits plus the sum of its digits is prime.at n=11A098797