1092
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 3136
- Proper Divisor Sum (Aliquot Sum)
- 2044
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 288
- Möbius Function
- 0
- Radical
- 546
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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) = n^2*Product_{p|n} (1 + 1/p).at n=25A000082
- Moser-de Bruijn sequence: sums of distinct powers of 4.at n=42A000695
- Orders of noncyclic simple groups (without repetition).at n=5A001034
- Fibonomial coefficients: a(n) = F(n+1) * F(n+2) * F(n+3)/2, where F() = Fibonacci numbers A000045.at n=5A001655
- Fibonomial coefficients: column 5 of A010048.at n=3A001657
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=12A001766
- a(n) = least value of m for which Liouville's function A002819(m) = -n.at n=34A002053
- G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.at n=11A002288
- Number of integer points in a certain quadrilateral scaled by a factor of n.at n=49A002789
- The square sieve.at n=59A002960
- Numbers that are the sum of 7 positive 5th powers.at n=32A003352
- Discriminants of the known imaginary quadratic fields with 1 class per genus (a finite sequence).at n=53A003644
- a(n) = n*(5*n - 1)/2.at n=21A005476
- Number of walks on square lattice.at n=3A005567
- Numbers whose sum of divisors is a square.at n=49A006532
- Number of primitive (aperiodic, or Lyndon) asymmetric rhythm cycles: ones having no nontrivial shift automorphism.at n=8A006575
- a(n) = floor(2^(n-1)/n).at n=14A006788
- Number of labeled M-type rooted trees on n nodes.at n=3A006959
- a(n) = 3*binomial(4*n,n)/(n+1).at n=4A007228
- Consider Leibniz's harmonic triangle (A003506) and look at the non-boundary terms. Sequence gives numbers appearing in denominators, sorted.at n=44A007622