2304
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
- 27
- Divisor Sum
- 6643
- Proper Divisor Sum (Aliquot Sum)
- 4339
- 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
- 768
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 10
- 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
- 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
- 27
- 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
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=46A000009
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=32A000423
- Squares that are not the sum of 2 nonzero squares.at n=30A000548
- Number of switching networks (see Harrison reference for precise definition).at n=1A000812
- Jordan-Polya numbers: products of factorial numbers A000142.at n=39A001013
- a(n) is the solution to the postage stamp problem with 4 denominations and n stamps.at n=17A001209
- Squares of numbers of rooted trees.at n=6A001257
- Order of real Clifford group L_n connected with Barnes-Wall lattices in dimension 2^n.at n=2A001309
- a(n) = n*2^(n-1).at n=9A001787
- Successive numerators of Wallis's approximation to Pi/2 (unreduced).at n=6A001900
- a(n) = 9*4^n.at n=4A002063
- Central factorial numbers: a(n) = 4^n * (n!)^2.at n=3A002454
- Coefficients of Chebyshev polynomials: n*(2*n+1) * 4^(n-1).at n=3A002700
- Discriminants of totally real quartic fields (see comments).at n=6A002769
- Numbers that are the sum of 9 nonzero 8th powers.at n=9A003387
- Unicursal (i.e., possessing an Eulerian path) planar rooted maps with n edges.at n=5A003584
- 3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0.at n=49A003586
- Factorial numbers written backwards.at n=8A004153
- Numbers obtained by reversing digits of factorial numbers.at n=8A004192
- a(n) = 9*2^n.at n=8A005010