4880
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 11532
- Proper Divisor Sum (Aliquot Sum)
- 6652
- 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
- 1920
- Möbius Function
- 0
- Radical
- 610
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 41
- Smith Number
- yes
- 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
- 4-dimensional analog of centered polygonal numbers: a(n) = n(n+1)*(n^2+n+4)/12.at n=15A006007
- Coordination sequence T3 for Zeolite Code VSV.at n=45A009916
- Fibonacci sequence beginning 0, 8.at n=15A022091
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 21 (most significant digit on right and removing all least significant zeros before concatenation).at n=9A029538
- a(n) = (n - 1)*(n^2 + n - 1).at n=17A033445
- Multiplicity of highest weight (or singular) vectors associated with character chi_94 of Monster module.at n=37A034482
- Number of partitions satisfying (cn(2,5) = cn(3,5) = 0).at n=50A036820
- Positive numbers having the same set of digits in base 5 and base 8.at n=36A037431
- Positive numbers having the same set of digits in base 7 and base 8.at n=41A037438
- Numbers whose base-3 representation contains exactly four 0's and no 1's.at n=32A044985
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=11A045013
- Rhombic matchstick numbers: a(n) = n*(3*n+2).at n=40A045944
- a(n) = T(2n+3,n), array T as in A055818.at n=4A055827
- z such that the Diophantine equation x^3+y^4=z^3 has solutions.at n=37A070741
- A Wallis pair (x,y) satisfies sigma(x^2) = sigma(y^2); sequence gives y's for indecomposable Wallis pairs with x < y (ordered by values of x).at n=17A075769
- An interleaved sequence of pyramidal and polygonal numbers.at n=29A081283
- Triangle read by rows: binary products of Fibonacci numbers.at n=47A094565
- a(n) is the (1,2)-entry of the n-th power of the 2 X 2 matrix [0,1;n-1,2(n-1)].at n=4A109517
- Row sums of number triangle A112739.at n=10A112740
- a(n) = smallest k such that A114266(k) = n.at n=49A114267