2432
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5100
- Proper Divisor Sum (Aliquot Sum)
- 2668
- 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
- 1152
- Möbius Function
- 0
- Radical
- 38
- Omega Function (Ω)
- 8
- 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
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of partitions of n into at most 6 parts.at n=36A001402
- Degrees of irreducible representations of Janko group J3.at n=18A003906
- a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.at n=32A004924
- a(n) = round(n*phi^9), where phi is the golden ratio, A001622.at n=32A004944
- Number of points on surface of dodecahedron: a(n) = 30*n^2 + 2 for n > 0.at n=9A005903
- Triangle of coefficients of expansions of powers of x in terms of Legendre polynomials P_n(x) over common denominator.at n=40A008317
- Every suffix prime and no 0 digits in base 9 (written in base 9).at n=29A024784
- Number of partitions of n in which the greatest part is 6.at n=42A026812
- Number of distinct products i*j*k with 1 <= i < j < k <= n.at n=34A027430
- Maximal value of Q(n,m) (number of partitions of n into m distinct summands) for given n.at n=56A030699
- 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 23.at n=18A031521
- Concatenation of n and n + 8 or {n,n+8}.at n=23A032613
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 4).at n=39A035546
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=11A036333
- Number of pairs {i,j}, i>1, j>1, such that ij < n^2.at n=29A037048
- Numbers n such that string 0,0 occurs in the base 8 representation of n but not of n-1.at n=37A044187
- Numbers n such that string 0,2 occurs in the base 9 representation of n but not of n-1.at n=32A044253
- Numbers n such that string 3,2 occurs in the base 10 representation of n but not of n-1.at n=27A044364
- Numbers n such that string 0,0 occurs in the base 8 representation of n but not of n+1.at n=37A044568
- Numbers n such that string 0,2 occurs in the base 9 representation of n but not of n+1.at n=32A044634