2624
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 5334
- Proper Divisor Sum (Aliquot Sum)
- 2710
- 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
- 1280
- Möbius Function
- 0
- Radical
- 82
- Omega Function (Ω)
- 7
- 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
- 115
- 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
- Discriminants of totally real quartic fields (see comments).at n=8A002769
- Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6 (n > 0).at n=24A003600
- n*a(n) = 2*(2*n-1)*a(n-1) + 4*(n-1)*a(n-2) with a(0) = 1.at n=6A006139
- Theta series of {D_6}^{+} lattice.at n=27A008434
- Expansion of (eta(q^2) / eta(q))^24 in powers of q.at n=3A014103
- Coordination sequence T2 for Zeolite Code CZP.at n=33A019457
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=31A020331
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=31A020337
- a(0)=0, a(2*n) = 2*a(n) + 2*a(n-1) + n^2 + n, a(2*n+1) = 4*a(n) + (n+1)^2.at n=42A022560
- Discriminants of totally real quartic fields.at n=9A023680
- Numbers that are the sum of 4 nonzero squares in exactly 3 ways.at n=44A025359
- (d(n)-r(n))/5, where d = A006527 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=32A026036
- Number of partitions of n into an even number of parts, the least being 3; also, a(n+3) = number of partitions of n into an odd number of parts, each >=3.at n=49A027195
- Numbers with 14 divisors.at n=12A030632
- Numbers with exactly five distinct base-7 digits.at n=29A031984
- Numbers k such that 81*2^k+1 is prime.at n=39A032390
- a(n) = (2*n - 1)*(3*n + 1).at n=21A033569
- Composite numbers n such that juxtaposition of prime factors of n has length 8.at n=38A036332
- Number of partitions satisfying (cn(2,5) = cn(3,5) = 0).at n=45A036820
- Schoenheim bound L_1(n,6,5).at n=14A036833