17256
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 43200
- Proper Divisor Sum (Aliquot Sum)
- 25944
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5744
- Möbius Function
- 0
- Radical
- 4314
- Omega Function (Ω)
- 5
- 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
- 53
- 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 (1 - 2x)/(1 - 2x - x^2 - x^3 + 2x^4).at n=13A052974
- Open 3-dimensional ball numbers (version 4): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2, 1/2, 1/2).at n=32A053596
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,45.at n=7A064259
- One-sixtieth of the even leg of Pythagorean triangles whose other sides are both primes (other than 3, 5 or 13).at n=40A068485
- G.f.: (1+x^3+x^4+x^5+x^6+x^9)/((1-x)*(1-x^2)^2*(1-x^3)*(1-x^4)).at n=41A090491
- a(n) = 1728*n - 24.at n=9A157287
- The number of permutations of length n that can be sorted by 2 pop stacks in parallel.at n=8A164870
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n + 3.at n=42A210375
- Number of nondecreasing sequences of n 1..6 integers with every element dividing the sequence sum.at n=33A212534
- Number of (n+4) X 8 0..1 matrices with each 5 X 5 subblock idempotent.at n=13A224686
- Number of defective 4-colorings of an n X 4 0..3 array connected horizontally, vertically, diagonally and antidiagonally with exactly one mistake, and colors introduced in row-major 0..3 order.at n=9A229574
- Terms of A143407, sorted.at n=37A270564
- Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * Sum_{j=0..n} (-k)^(n-j) * (n-j)^j/j!.at n=59A351776
- T(n,k) is the number of distinct n X n {0,1}-matrices that reach a fixed point after k alternately applied sorts by rows and columns, where T(n,k), k>=0 is an irregular triangle read by rows.at n=31A374525
- Centered 29-gonal numbers.at n=34A389798