17465
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 24000
- Proper Divisor Sum (Aliquot Sum)
- 6535
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11952
- Möbius Function
- -1
- Radical
- 17465
- Omega Function (Ω)
- 3
- 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
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Sum of lengths of longest increasing subsequences of all permutations of n elements.at n=6A003316
- Triangle read by rows: T(n,k) is the number of multigraphs without loops on n labeled nodes with k edges and maximum degree 2.at n=40A095693
- T(n,4) diagonal of triangle in A095693.at n=4A095695
- Number of compositions of n into 5 parts such that no two adjacent parts are equal.at n=23A106354
- The hyper-Wiener index of a benzenoid consisting of a straight-line chain of n hexagons (s=2; see the Gutman et al. reference).at n=7A193390
- Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments.at n=22A208182
- a(n) = Sum_{k=0..n} p(k)^k, where p(k) is the partition function A000041.at n=5A259436
- Coefficients in expansion of 1/(1 + x - 2*x^5).at n=35A317509
- a(n) is the number of unlabeled rank-3 graded lattices with 4 coatoms and n atoms.at n=29A322599
- Number of compositions (ordered partitions) of n into octagonal numbers (A000567).at n=50A322800
- Row sums of A371081.at n=3A371488
- a(n) is the number of 4 element sets of distinct integer sided strict rectangles that fill an n X n square.at n=33A384724