6580
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 9548
- 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
- 2208
- Möbius Function
- 0
- Radical
- 3290
- 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
- 137
- 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
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=34A000125
- Stirling numbers of the first kind: s(n+2, n).at n=14A000914
- Expansion of e.g.f. cos(log(1+x)/exp(x)).at n=7A009034
- Stirling numbers of first kind S1(16,n).at n=13A011526
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2).at n=39A024305
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).at n=38A024306
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor(n/2).at n=38A024868
- (d(n)-r(n))/2, where d = A008778 and r is the periodic sequence with fundamental period (1,1,0,1).at n=39A026052
- Table read by rows: list of even numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=35A029617
- Even numbers to left of central elements of the (3,2)-Pascal triangle A029618.at n=34A029631
- [ exp(4/15)*n! ].at n=6A030913
- Sum_{i=0..3} binomial(Fibonacci(n),i).at n=9A032440
- a(n) = (2*n+1)*(11*n+1).at n=17A033575
- 13-gonal (or tridecagonal) numbers: a(n) = n*(11*n - 9)/2.at n=35A051865
- Numbers k such that phi(k) + 1 = x^2 and sigma(k) + 1 = y^2 for some x and y.at n=34A063532
- Square of lower triangular matrix of A056857 (successive equalities in set partitions of n).at n=40A078937
- a(n) = floor(binomial(n+7,7)/binomial(n+3,3)).at n=43A084628
- Sequence resulting from a sum of three repeated binomial(n+3,4) sequences.at n=27A093039
- Number of odd composites between 2^n and 2^(n + 1).at n=14A094812
- Bisection of A000125.at n=17A100503