13776
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 41664
- Proper Divisor Sum (Aliquot Sum)
- 27888
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3840
- Möbius Function
- 0
- Radical
- 1722
- Omega Function (Ω)
- 7
- 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
- yes
- 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
- 107
- 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 paraffins.at n=38A005999
- Expansion of tanh(tan(log(1+x))).at n=8A009806
- arcsin(arctan(arcsin(x)))=x+12/5!*x^5+80/7!*x^7+13776/9!*x^9...at n=4A012195
- Number of nonisomorphic commutative groupoids with no idempotents and no symmetry.at n=4A030261
- Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere.at n=41A035008
- Increments used in Sedgewick-Incerpi upper bound for shell sort.at n=10A036569
- Triangle: T(n,k), k<=n: commutative groupoids with no symmetry with n elements and k idempotents.at n=10A038022
- Triangle of B-analogs of Stirling numbers of the second kind.at n=41A039755
- Triangle of B-analogs of Stirling numbers of 2nd kind.at n=39A039756
- Denominators of continued fraction convergents to sqrt(143).at n=7A041263
- Weights of rotation-symmetric functions in n variables.at n=12A051253
- Numbers k such that k^512 + 1 is prime.at n=35A057465
- Chebyshev sequence U(n,12)=S(n,24) with Diophantine property.at n=3A077423
- Triangle read by rows: T(n,k) = number of Schroeder paths of length 2n and having k ascents.at n=51A090981
- a(n) = Sum(Sum p_i, {Sum p_i=prime(n)}, p_i is prime).at n=12A120484
- Pentagonal numbers > 0 which are not the difference of two other pentagonal numbers > 0.at n=13A135769
- Pentagonal numbers > 0 which are not the difference of two larger pentagonal numbers.at n=18A136113
- Number of possible outcomes after n steps of the Zeno gambling process.at n=23A137414
- Number of Frobenius equivalence classes of size n over GF(2^n) with their trace equal to the trace of their inverse.at n=17A137503
- Chebyshev polynomial of the second kind U(3,n).at n=12A144138