1512
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 4800
- Proper Divisor Sum (Aliquot Sum)
- 3288
- 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
- 432
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 109
- 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
- Denominator in Feinler's formula for unsigned Bernoulli number |B_{2n}|.at n=13A002444
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=14A002653
- Numbers that are the sum of 5 positive 5th powers.at n=30A003350
- Expansion of theta series of {E_7}* lattice in powers of q^(1/2).at n=11A003781
- Expansion of g.f. (1+x)/(1-6*x).at n=4A003949
- Weighted count of partitions with odd parts.at n=30A005896
- Theta series of the coset of the E_7 lattice in its dual.at n=2A005931
- Erroneous version of A003781.at n=11A005932
- Alkane (or paraffin) numbers l(8,n).at n=10A005995
- Unitary harmonic numbers (those for which the unitary harmonic mean is an integer).at n=7A006086
- Denominators of Cauchy numbers of first type.at n=26A006233
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=24A007332
- Smallest k such that sigma(x) = k has exactly n solutions.at n=12A007368
- a(1) = 2, a(n) = sigma(a(n-1)).at n=10A007497
- Number of non-Abelian metacyclic groups of order 2^n.at n=36A007982
- Coordination sequence T3 for Zeolite Code LIO.at n=27A008131
- a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4).at n=25A008233
- floor(n/5)*floor((n+1)/5)*floor((n+2)/5)*floor((n+3)/5).at n=32A008381
- Orders of non-cyclic simple groups (divided by 4).at n=11A008976
- Expansion of e.g.f.: tanh(log(1+x)^2).at n=7A009789