6500
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 15288
- Proper Divisor Sum (Aliquot Sum)
- 8788
- 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
- 2400
- Möbius Function
- 0
- Radical
- 130
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- 137
- 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) = number of solid (i.e., three-dimensional) partitions of n.at n=11A000293
- Oscillates under partition transform.at n=46A007210
- Coordination sequence for NiAs(2), Ni position.at n=38A009946
- a(0) = 1, a(n) = 18*n^2 + 2 for n>0.at n=19A010008
- Number of lines through exactly 4 points of an n X n grid of points.at n=30A018811
- a(n) = n-th elementary symmetric function of C(n,0), C(n,1), ..., C(n,n).at n=5A025134
- Numbers that are the sum of 2 nonzero squares in exactly 4 ways.at n=33A025287
- Numbers that are the sum of 2 nonzero squares in 4 or more ways.at n=34A025295
- Numbers that are the sum of 2 distinct nonzero squares in exactly 4 ways.at n=33A025305
- Numbers that are the sum of 2 distinct nonzero squares in 4 or more ways.at n=34A025314
- a(n) = (d(n)-r(n))/2, where d = A026054 and r is the periodic sequence with fundamental period (1,0,0,0).at n=37A026055
- 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 40.at n=40A031538
- a(n) = (2*n - 1)*(3*n + 1).at n=33A033569
- Expansion of (1-25*x)^(-3/5).at n=3A049381
- Numbers k such that sum of factorials of digits of k equals pi(k) (A000720).at n=0A049529
- Numbers k such that sopfr(k) = sopfr(k - sopfr(k)).at n=14A050781
- McKay-Thompson series of class 42a for Monster.at n=45A058675
- Engel expansion of e^gamma (gamma is the Euler-Mascheroni constant A001620) = 1.78107.at n=11A059199
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=34A063354
- Sides of integer Heronian triangles [prime(A068964(n)), prime(A068964(n)+1), a(n)] with area A068966(n).at n=8A068965