1716
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 4704
- Proper Divisor Sum (Aliquot Sum)
- 2988
- 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
- 480
- Möbius Function
- 0
- Radical
- 858
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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
- Number of positive integers <= 2^n of form x^2 + 4 y^2.at n=13A000072
- Figurate numbers or binomial coefficients C(n,6).at n=13A000579
- a(n) = binomial coefficient C(n,7).at n=6A000580
- a(n) = binomial(n, floor(n/2)).at n=13A001405
- a(n) = (5*n + 1)*(5*n + 2)*(5*n + 3).at n=2A001509
- 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=6A001700
- Expansion of 1/((1+x)*(1-x)^5).at n=14A001752
- 4-dimensional pyramidal numbers: a(n) = n^2*(n^2-1)/12.at n=12A002415
- Expansion of (1-4*x)^(3/2) in powers of x.at n=10A002421
- a(n) = binomial(4*n+1, 2*n).at n=3A002458
- Least integer having Radon random number n.at n=12A002661
- Numbers that are the sum of 8 positive 6th powers.at n=21A003364
- Define predecessors of n, P(n), to consist of numbers whose binary representation is obtained from that of n by replacing 10 with 01 or changing a final 1 to a 0; then a(0)=1, a(n) = Sum a(P(n)), n>0.at n=45A004065
- a(n) = n*(n + 1)*(2*n^2 + 2*n - 1)/6.at n=7A006324
- Number of binary phylogenetic trees with n labels.at n=4A006682
- Valence of graph of maximal intersecting families of sets.at n=12A007007
- Oscillates under partition transform.at n=41A007212
- Numbers k such that sigma(x) = k has exactly 3 solutions.at n=46A007372
- a(n) = n*(n-1)*(n-2) (or n!/(n-3)!).at n=13A007531
- Coordination sequence T1 for Zeolite Code BIK.at n=25A008047