17252
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 31920
- Proper Divisor Sum (Aliquot Sum)
- 14668
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8136
- Möbius Function
- 0
- Radical
- 8626
- Omega Function (Ω)
- 4
- 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
- Number of Costas arrays of order n, counting rotations and flips as distinct.at n=13A008404
- Numerators of continued fraction convergents to sqrt(339).at n=7A041640
- Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=38A045613
- Numbers k such that k^2 contains exactly 9 different digits.at n=27A054037
- Number of unlabeled asymmetric 2-ary cacti having n polygons.at n=12A054358
- Number of partitions of n with more odd parts than even parts.at n=37A108950
- a(n) = 2*n*(6*n-1).at n=38A126964
- A129957(n) - n*(n-1)/2.at n=26A129959
- Number of permutations of 1..n with all differences of elements separated by distances 1 through 6 being respectively unique.at n=13A170812
- Number of permutations of 1..n with all differences of elements separated by distances 1 through 7 being respectively unique.at n=13A170813
- Number of permutations of 1..n with all differences of elements separated by distances 1 through 8 being respectively unique.at n=13A170814
- Number of permutations of 1..n with all differences of elements separated by distances 1 through 9 being respectively unique.at n=13A170815
- Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 5 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=n-n%2, read by rows.at n=54A231145
- Number T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 10 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=5*floor(n/2), read by rows.at n=29A238586
- Numbers k such that (46*10^k + 521)/9 is prime.at n=19A291607
- Number of cyclic compositions (necklaces of positive integers) summing to n with adjacent parts (including the last and first part) being indivisible (either way).at n=36A318730
- Number of Lyndon compositions (aperiodic necklaces of positive integers) with sum n and adjacent parts (including the last with the first part) being indivisible (either way).at n=36A318747
- a(n) is the Wiener index of a sling on n+1 vertices.at n=46A349417