5104
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 11160
- Proper Divisor Sum (Aliquot Sum)
- 6056
- 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
- 2240
- Möbius Function
- 0
- Radical
- 638
- 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
- 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
- Generalized Stirling numbers, [n+4,4]_2.at n=4A001706
- Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*(1-x^4)).at n=36A002621
- Expansion of 1/((1-x)^3 (1-x^2)^2 (1-x^3) (1-x^4)).at n=17A002626
- a(n) = (n+1)*(n^2+n+2)/2; g.f.: (1 + 2*x^2) / (1 - x)^4.at n=21A006000
- Coordination sequence T2 for Zeolite Code AFO.at n=47A008016
- Number of triples of different integers from [ 2,n ] with no global factor.at n=33A015618
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17).at n=70A017893
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=30A024974
- Numbers that are the sum of 3 positive cubes in exactly 3 ways.at n=0A025397
- Numbers that are the sum of 3 positive cubes in 3 or more ways.at n=0A025398
- Numbers that are the sum of 3 distinct positive cubes in exactly 3 ways.at n=0A025401
- Numbers that are the sum of 3 distinct positive cubes in 3 or more ways.at n=0A025402
- Least sum of 3 positive cubes in exactly n ways.at n=2A025418
- Least sum of 3 distinct positive cubes in exactly n ways.at n=2A025419
- Numbers k such that 163*2^k+1 is prime.at n=31A032458
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=29A033580
- Number of partitions of n with equal nonzero number of parts congruent to each of 1 and 2 (mod 5).at n=43A035566
- Numerators of continued fraction convergents to sqrt(427).at n=6A041812
- Numerators of continued fraction convergents to sqrt(434).at n=4A041826
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=20A043078