11712
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 31496
- Proper Divisor Sum (Aliquot Sum)
- 19784
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 366
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 99
- 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
- Expansion of e.g.f. cos(x)*cos(tanh(x)), even powers only.at n=4A009100
- Expansion of cosh(tan(x))/exp(x).at n=8A009161
- Expansion of e.g.f.: cosh(x)/exp(tan(x)).at n=8A009186
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 53.at n=37A031551
- Number of inequivalent ways to color faces of a cube using at most n colors.at n=8A047780
- a(n) in base 11 is a repdigit.at n=38A048335
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=30A063370
- Numbers k such that sigma(k) - usigma(k) is a square and sets a new record for such squares.at n=21A063840
- Number of positions that are exactly n moves from the starting position in the Dino Cube puzzle, mirror positions counted once.at n=4A079767
- Number of positions that are exactly n moves from the starting position in the Rainbow Cube puzzle.at n=4A079768
- Expansion of (1-5*x)/((1-2*x)*(1-6*x)).at n=6A092803
- Column 7 of array illustrated in A089574 and related to A034261.at n=5A109125
- Column 11 of table A105552.at n=6A110554
- a(n) = prime(n)*prime(n+1)*prime(n+2) - prime(n+3)^2.at n=7A135734
- Numbers with 28 divisors.at n=34A137491
- Products of the 6th power of a prime and 2 distinct primes (p^6*q*r).at n=31A179672
- Total number of n-digit numbers requiring 7 positive biquadrates in their representation as sum of biquadrates.at n=4A186660
- T(n,k) = Number of n-step self-avoiding walks on a k X k X k cube summed over all starting positions.at n=47A187162
- Number of 3-step self-avoiding walks on an n X n X n cube summed over all starting positions.at n=7A187164
- G.f.: Sum_{n>=0} (2*n+x)^n * x^n / (1 + 2*n*x + x^2)^n.at n=5A187746