2436
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 6720
- Proper Divisor Sum (Aliquot Sum)
- 4284
- 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
- 672
- Möbius Function
- 0
- Radical
- 1218
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- 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) is the number of partitions of n (the partition numbers).at n=26A000041
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=39A008137
- a(n) = floor(n*(n-1)*(n-2)/9).at n=29A011891
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=30A011892
- Poincaré series [or Poincare series] (or Molien series) for mod 2 cohomology of universal W-group W(3).at n=11A014696
- Numbers n such that phi(n) | sigma_7(n).at n=54A015765
- Numbers k such that phi(k) | sigma_13(k).at n=45A015771
- Powers of fourth root of 2 rounded up.at n=45A018050
- Powers of fourth root of 8 rounded up.at n=15A018068
- Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203).at n=42A020492
- Numbers k such that d(k) (number of divisors) divides phi(k) (Euler function) divides sigma(k) (sum of divisors).at n=32A020493
- a(n) = n*(11*n+1)/2.at n=21A022269
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...), t = (composite numbers).at n=19A025100
- Duplicate of A022269.at n=20A026817
- 6 times triangular numbers: a(n) = 3*n*(n+1).at n=28A028896
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=25A029695
- Coefficients in 1/(1+P(x)), where P(x) is the generating function of the primes.at n=22A030018
- Every run of digits of n in base 13 has length 2.at n=16A033011
- Numbers whose base-13 expansion has no run of digits with length < 2.at n=29A033026
- Number of partitions of n into even parts.at n=52A035363