11328
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 30480
- Proper Divisor Sum (Aliquot Sum)
- 19152
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3712
- Möbius Function
- 0
- Radical
- 354
- Omega Function (Ω)
- 8
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- arcsin(arcsin(x)*arcsin(x))=2/2!*x^2+8/4!*x^4+248/6!*x^6+11328/8!*x^8...at n=4A012341
- Coefficients in the expansion sinh(arcsin(x)*arcsin(x)) = 2*x^2/2!+8*x^4/4!+248*x^6/6!+11328*x^8/8!+...at n=3A012345
- Number of "bifix-free" words of length n over a four-letter alphabet.at n=7A019309
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 17 (most significant digit on right).at n=13A029510
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 53.at n=25A031551
- Numbers k such that 5*3^k - 2 is prime.at n=26A058591
- Triangle T(n,k) read by rows giving number of fixed 4 X k polyominoes with n cells (n >= 4, 1<=k<=n-3).at n=32A059680
- Triangle T(n,k) giving number of fixed 5 X k polyominoes with n cells (n >= 5, 1<=k<=n-4).at n=24A059681
- Number of Lyndon words (aperiodic necklaces) with 5n beads of 5 colors, n beads of each color.at n=2A074657
- Symmetric secondary structures of RNA molecules with n nucleotides.at n=23A088518
- Number of left factors of peakless Motzkin paths of length n.at n=11A091964
- Triangle read by rows: T(n,k) is number of ternary words of length n and having k runs of 0's of odd length (0 <= k <= ceiling(n/2); a run of 0's is a subsequence of consecutive 0's of maximal length).at n=38A119914
- Triangle T(n,k) read by rows ; multiply row n of Pascal's triangle (A007318) by A024175(n).at n=37A120493
- Triangle T(n,k) read by rows ; multiply row n of Pascal's triangle (A007318) by A024175(n).at n=43A120493
- a(n) = floor(Pi^(n*e)).at n=3A121904
- Triangle read by rows: T(n,k) is the number of paths of length n with steps U=(1,1), D=(1,-1) and H=(1,0), starting at (0,0), staying weakly above the x-axis (i.e., left factors of Motzkin paths) and having k peaks (i.e., UDs), 0 <= k <= floor(n/2).at n=36A132893
- Numbers with 28 divisors.at n=33A137491
- Products of the 6th power of a prime and 2 distinct primes (p^6*q*r).at n=30A179672
- Number of 4-element nondividing subsets of {1, 2, ..., n}.at n=29A187491
- Even dodecagonal numbers: a(n) = 4*n*(5*n - 2).at n=24A193872