13716
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 35840
- Proper Divisor Sum (Aliquot Sum)
- 22124
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4536
- Möbius Function
- 0
- Radical
- 762
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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 partitions of n in which no parts are multiples of 3.at n=46A000726
- Convolve Fibonacci and Pell numbers.at n=12A006684
- Expansion of tan(tan(x))*sinh(x)/2.at n=4A024294
- Denominators of continued fraction convergents to sqrt(354).at n=9A041671
- Numbers k such that sigma(k) = 2*usigma(k).at n=38A063880
- Bond series for first parallel moment of 4.8 (bathroom tile) lattice.at n=20A120554
- First differences of A129983.at n=13A129984
- a(n) = 19683*n - 5967.at n=0A157669
- Number of (n+1) X (1+1) 0..2 arrays colored with the difference of the maximum and minimum in each 2 X 2 subblock.at n=4A236048
- Number of (n+1)X(5+1) 0..2 arrays colored with the difference of the maximum and minimum in each 2X2 subblock.at n=0A236052
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the difference of the maximum and minimum in each 2X2 subblock.at n=10A236055
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the difference of the maximum and minimum in each 2X2 subblock.at n=14A236055
- Number of length 5+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth.at n=10A248542
- Numbers m such that there exists a j for which m = Sum_{k=1..j} (m mod k), where k runs through the largest j primes less than m.at n=32A274422
- Number of n X 3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,-1) and new values introduced in order 0..2.at n=9A275499
- Expansion of (a(q) / b(q))^3 in powers of q where a(), b() are cubic AGM theta functions.at n=4A290405
- Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp((1+x)^k - 1).at n=59A294042
- T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 3 neighboring 1s.at n=46A297637
- Number of 2Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 3 neighboring 1s.at n=8A297638
- Dirichlet g.f.: (zeta(s-3) / zeta(s))^2.at n=18A338165