13968
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 39494
- Proper Divisor Sum (Aliquot Sum)
- 25526
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 582
- Omega Function (Ω)
- 7
- 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
- 151
- 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
- Expansion of (psi(x^2) / psi(-x))^3 in powers of x where psi() is a Ramanujan theta function.at n=14A001937
- arcsin(arcsin(arctan(x)))=x+12/5!*x^5-88/7!*x^7+13968/9!*x^9...at n=4A012088
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=55A025200
- Sum of squares of entries of Wilkinson's eigenvalue test matrix of order 2n+1.at n=27A059834
- Numbers k such that sigma(x) = k has exactly 9 solutions.at n=31A060665
- The array of A063179 read by diagonals in direction of creation.at n=48A063180
- The array of A063179 read by diagonals in the 'up' direction.at n=48A063181
- Values of z in positive integer solutions of x^2 + y^5 = z^3, listed in increasing order of z.at n=23A070067
- Numbers n such that 30*n+7, 30*n+11, 30*n+13, 30*n+17, 30*n+19 are consecutive primes.at n=20A089157
- Number of partitions of n into Fibonacci parts if each part is of two kinds.at n=23A103577
- Number of freely-braided hexagon-avoiding permutations in S_n; the freely-braided hexagon-avoiding permutations are those that avoid 3421, 4231, 4312, 4321, 46718235, 46781235, 56718234 and 56781234.at n=9A129777
- Coefficients of the second order mock theta function B(q).at n=34A153140
- Number of partitions of 2*n-1 into parts not greater than n.at n=17A171985
- a(n) = 97*n^2.at n=12A174338
- The sum of the elements within a jump in a Sieve of Eratosthenes table.at n=24A179545
- Expansion of (psi(x^2) / psi(x))^3 in powers of x where psi() is a Ramanujan theta function.at n=14A187053
- Numbers divisible by at least four of their digits, different and >1.at n=34A187238
- Number of partitions of n into lower Wythoff numbers (A000201).at n=53A192184
- n-th derivative of (x^x)^((x^x)^x) at x=1.at n=6A215709
- Sixth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways.at n=11A215836