6435
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 13104
- Proper Divisor Sum (Aliquot Sum)
- 6669
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 2145
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 75
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = binomial coefficient C(n,7).at n=8A000580
- a(n) = binomial coefficient C(n,8).at n=7A000581
- Number of ways of partitioning n points on a circle into subsets only of sizes 2 and 3.at n=14A001005
- a(n) = binomial(n, floor(n/2)).at n=15A001405
- a(n) = binomial(2*n+1, n+1): number of ways to put n+1 indistinguishable balls into n+1 distinguishable boxes = number of (n+1)-st degree monomials in n+1 variables = number of monotone maps from 1..n+1 to 1..n+1.at n=7A001700
- Numerators in expansion of 1/sqrt(1-x).at n=8A001790
- Numerators in expansion of (1 - x)^(-3/2).at n=7A001803
- Coefficients of Legendre polynomials.at n=7A002461
- Least integer having Radon random number n.at n=14A002661
- Degrees of irreducible representations of alternating group A_13.at n=36A003868
- Degrees of irreducible representations of symmetric group S_13.at n=65A003877
- Degrees of irreducible representations of symmetric group S_13.at n=66A003877
- Expansion of 1/(11 - Sum_{k=1..10} exp(k*x)).at n=2A004708
- Numerator of n!!/(n+1)!! (cf. A006882).at n=15A004730
- a(0) = 1; thereafter a(n) = denominator of (n-2)!! / (n-1)!!.at n=16A004731
- Numerator of average distance traveled by n-dimensional fly.at n=14A004734
- Denominator of average distance traveled by n-dimensional fly.at n=13A004735
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=10A005231
- Odd primitive abundant numbers.at n=8A006038
- Valence of graph of maximal intersecting families of sets.at n=14A007007