13272
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
- 32
- Divisor Sum
- 38400
- Proper Divisor Sum (Aliquot Sum)
- 25128
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3744
- Möbius Function
- 0
- Radical
- 3318
- Omega Function (Ω)
- 6
- 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
- 45
- 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
- sinh(sinh(x)*tan(x)) = 2/2!*x^2 + 12/4!*x^4 + 262/6!*x^6 + 13272/8!*x^8 + ...at n=4A009610
- arcsin(sinh(x)*tan(x))=2/2!*x^2+12/4!*x^4+262/6!*x^6+13272/8!*x^8...at n=3A012546
- Duplicate of A009610.at n=3A012549
- q-factorial numbers 3!_q.at n=23A069778
- Largest integer m such that m divides (sigma_(2n+1)(2k-1)-sigma(2k-1)) for all k>=1.at n=38A081863
- (n / product of digits of n) is a semiprime.at n=34A085773
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only either as two by three or three by two blocks.at n=14A146158
- Number of binary strings of length n with no substrings equal to 0010 0110 or 1101.at n=16A164499
- Number of quadrilaterals in a triangular matchstick arrangement of side n.at n=14A204185
- Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having three, four, five, six or seven distinct values for every i,j,k<=n.at n=6A211586
- Number of (w,x,y) with all terms in {0,...,n} and w <= x + y and x < y.at n=31A212981
- Number of superdiagonal bargraphs with area n.at n=32A219282
- The number of permutations of length n sortable by 3 prefix reversals (in the pancake sorting sense).at n=24A228398
- 50-gonal numbers: a(n) = 48*n*(n-1)/2 + n.at n=24A261343
- Numbers k such that A127417(k) = 1.at n=25A305162
- Number of odd parts in the partitions of n into 9 parts.at n=38A309656
- Total area of all triangles such that p + q = 2*n, p < q (p, q prime), with base (q + p) and height (q - p).at n=41A334065
- Number of primes less than 10^n with digits in nonincreasing order.at n=11A345326
- Numbers k such that k and k + 1 are both lazy-Lucas-Niven numbers (A351719).at n=30A351720
- a(n) = m is the least m = b*c > a(n-1) such that (b+c)*n = m-1 where 1 < b <= c < m.at n=22A364171