5130
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 9270
- 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
- 1296
- Möbius Function
- 0
- Radical
- 570
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 54
- 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 solution to the postage stamp problem with 4 denominations and n stamps.at n=22A001209
- Expansion of 1/((1-x)^4*(1+x)).at n=37A002623
- a(n) = ceiling(1000*log_2(n)).at n=34A004267
- Coordination sequence T4 for Zeolite Code BRE.at n=47A008061
- Coordination sequence T7 for Zeolite Code DDR.at n=45A008077
- Theta series of A_5 lattice.at n=36A008445
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/28 ).at n=21A011938
- a(n) = n*(n+1)*(4*n+5)/6.at n=19A016061
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFS = MAPSO-46 starting with a T3 atom.at n=5A018964
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite BPH = Beryllophosphate-H Na7K7[Be14P14O56].20H2O starting with a T3 atom.at n=5A018994
- Expansion of 1/((1-x)*(1-5*x)*(1-8*x)*(1-10*x)).at n=3A022565
- a(n) = 1*(n+1-1) + 2*(n+1-2) + ... + k*(n+1-k), where k = floor((n+1)/2).at n=37A023856
- a(n) = 1*(n+3-1) + 2*(n+3-2) + .... + k*(n+3-k), where k=floor((n+1)/2).at n=36A023857
- a(n) = 3rd elementary symmetric function of the first n+2 positive integers congruent to 1 mod 4.at n=2A024379
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (natural numbers >= 2).at n=36A024853
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=31A024974
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=30A025400
- Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.at n=30A027578
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0.at n=4A037509
- Numbers n such that lcm(sigma(n),phi(n)) is a perfect square.at n=35A043293