3600
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
- 1
Divisibility
- Divisor Count
- 45
- Divisor Sum
- 12493
- Proper Divisor Sum (Aliquot Sum)
- 8893
- 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
- 960
- Möbius Function
- 0
- Radical
- 30
- 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
- yes
- 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
- 56
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=25A000297
- Discriminants of totally real quartic fields (see comments).at n=9A002769
- Expansion of (1 + x*exp(x))^2.at n=8A002999
- Order of universal Chevalley group D_n (4).at n=1A003831
- Order of (usually) simple Chevalley group D_n (5).at n=1A003838
- Order of universal Chevalley group D_2(q), q = prime power.at n=2A003841
- Order of (usually) simple Chevalley group D_2(q), q = prime power.at n=2A003848
- Order of (usually) simple Chevalley group D_2(q), q = prime power.at n=3A003848
- Theta series of E_6 lattice.at n=7A004007
- Denominator of (binomial(2*n-2,n-1)/n!)^2.at n=6A005017
- Theta series of {E_6}* lattice.at n=21A005129
- Permanent of "coprime?" matrix.at n=8A005326
- Permanent of "coprime?" matrix.at n=9A005326
- E.g.f.: high-temperature series in J/2kT for ferromagnetic susceptibility for the spin-1/2 Heisenberg model on hexagonal lattice.at n=4A005399
- a(n) = (prime(n) - 1)^2.at n=17A005722
- Number of paraffins.at n=23A005997
- Expansion of (1+x^2) / ( (1-x)^2 * (1-x^3)^2 ).at n=43A006501
- Smallest k such that sigma(x) = k has exactly n solutions.at n=17A007368
- a(n) = denominator of Sum_{k=1..n} 1/k^2.at n=5A007407
- a(n) = denominator of Sum_{k=1..n} 1/k^2.at n=4A007407