4810
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 4766
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1728
- Möbius Function
- 1
- Radical
- 4810
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- Reversion of g.f. for Fibonacci numbers 1, 1, 2, 3, 5, ....at n=15A007440
- Coordination sequence T6 for Zeolite Code MFI.at n=44A008169
- Expansion of 1/((1-x)*(1-3*x)*(1-9*x)*(1-10*x)).at n=3A021684
- a(n) = n*(7*n + 1)/2.at n=37A022265
- Numbers that are the sum of 2 nonzero squares in exactly 4 ways.at n=21A025287
- Numbers that are the sum of 2 nonzero squares in 4 or more ways.at n=21A025295
- Numbers that are the sum of 2 distinct nonzero squares in exactly 4 ways.at n=21A025305
- Numbers that are the sum of 2 distinct nonzero squares in 4 or more ways.at n=21A025314
- Coordination sequence T4 for Zeolite Code CFI.at n=46A033602
- Multiplicity of highest weight (or singular) vectors associated with character chi_49 of Monster module.at n=38A034437
- Coordination sequence T1 for Zeolite Code STF.at n=46A038443
- Denominators of Hurwitz numbers H_n (coefficients in expansion of Weierstrass P-function).at n=8A047817
- Integers n such that the number of digits in n! is a cube.at n=15A056851
- Engel expansion of Sum_{k>=0} 1/(3 + k)^k.at n=11A063186
- Integers n >= 1 such that n divides 0!-1!+2!-3!+4!-...+(-1)^{n-1}(n-1)!.at n=27A064383
- Numbers in A064383 that are squarefree.at n=19A064392
- Bessel polynomial {y_n}'(2).at n=4A065920
- Concatenate n and number of divisors of n.at n=47A065998
- Squarefree numbers having exactly three prime gaps.at n=15A073489
- Numbers having exactly three prime gaps in their factorization.at n=17A073495