4590
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 8370
- 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
- 510
- 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
- 59
- 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
- Theta series of E_6 lattice.at n=8A004007
- Theta series of {E_6}* lattice.at n=24A005129
- Weighted count of partitions with odd parts.at n=37A005896
- Coordination sequence T1 for Zeolite Code LOS.at n=47A008132
- Coordination sequence T6 for Zeolite Code MFS.at n=42A008178
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/16).at n=18A011926
- a(n) is the concatenation of n and 2n.at n=44A019550
- Let a,b,c,...k be all divisors of n; a(n) = (a+1)*(b+1)*...*(k+1).at n=15A020696
- a(n) = n*(23*n - 1)/2.at n=20A022280
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=29A026061
- Number of totally isotropic spaces of index n in orthogonal geometry of dimension 2n.at n=5A028361
- Numbers whose set of base-13 digits is {1,2}.at n=24A032933
- Every run of digits of n in base 16 has length 2.at n=28A033014
- OR-convolution of squares A000290 with themselves.at n=18A033459
- a(n) = n*(4*n-1).at n=34A033991
- a(n) = least number not of form [ (a^2/n) ] + [ (b^2)/n ].at n=22A036575
- Numerators of continued fraction convergents to sqrt(924).at n=6A042786
- Positive integers having more base-16 runs of even length than odd.at n=29A044842
- 15-gonal (or pentadecagonal) numbers: n*(13n-11)/2.at n=27A051867
- Ooguri-Vafa invariants of disk domain wall degeneracies for brane I in the O(K) -> P^1 X P^1 geometry.at n=2A061607