2308
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4046
- Proper Divisor Sum (Aliquot Sum)
- 1738
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1152
- Möbius Function
- 0
- Radical
- 1154
- Omega Function (Ω)
- 3
- 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
- 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
- 32
- 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 conjugacy classes in the alternating group A_n.at n=28A000702
- Number of bipartite partitions.at n=11A002767
- Coordination sequence T1 for Zeolite Code ANA.at n=31A008031
- Coordination sequence T1 for Zeolite Code AST.at n=35A008036
- Coordination sequence T1 for Zeolite Code JBW.at n=32A008121
- Coordination sequence T3 for Zeolite Code LOV.at n=32A008136
- a(n+1) = a(n)-b(n+1) if a(n) >= b(n+1) else a(n)+b(n+1), where {b(n)} are the triangular numbers A000217.at n=48A008345
- Coordination sequence T4 for Zeolite Code CON.at n=34A009871
- Coordination sequence T3 for Zeolite Code VET.at n=29A009904
- Pisot sequence E(5,17), a(n) = floor(a(n-1)^2 / a(n-2) + 1/2).at n=5A010914
- Squares on infinite chessboard at n moves from center using a {2,3} fairy knight.at n=35A018839
- a(n) = [ a(n-1)/a(1) + a(n-3)/a(3) + a(n-5)/a(5) + ... ], for n >= 3.at n=31A022871
- Numbers with exactly 6 1's in their ternary expansion.at n=14A023697
- Let c(k) denote the k-th composite number and p(k) the k-th prime number; then a(n) = Sum_{i=n*(n-1)/2+1 .. n*(n+1)/2} c(i) - Sum_{i=1..n} p(i).at n=15A024850
- Number of partitions of n into distinct parts >= 3.at n=57A025148
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 24.at n=20A031522
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 24.at n=3A031702
- Multiplicity of highest weight (or singular) vectors associated with character chi_33 of Monster module.at n=33A034421
- Sums of 6 distinct powers of 3.at n=7A038468
- Position of the first occurrence of n in continued fraction for Champernowne constant (A030167).at n=45A038706