17329
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 19712
- Proper Divisor Sum (Aliquot Sum)
- 2383
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15120
- Möbius Function
- -1
- Radical
- 17329
- 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
- 141
- 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
- Pseudoprimes to base 6.at n=36A005937
- Strong pseudoprimes to base 87.at n=16A020313
- Expansion of Product_{m>=1} (1-m*q^m)^31.at n=5A022691
- Number of tree-like octagonal systems.at n=7A036760
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 2,1.at n=5A037491
- Number of partitions of n with equal number of parts congruent to each of 1, 2 and 3 (mod 4).at n=60A046769
- a(n) = (2*n - 1)*(7*n^2 - 7*n + 6)/6.at n=19A063490
- Least number k such that there are exactly n powerful numbers between k^2 and (k+1)^2.at n=7A119242
- a(n) = 12*n^2 + 1.at n=38A158480
- a(n) = 48*n^2 + 1.at n=19A158638
- First of 3 or more consecutive integers with equal values of phi(phi(n)).at n=20A167767
- Number of increasing sequences of n integers x(1),...,x(n) with values in 1..3*n such that x(j) divides x(k) iff j divides k.at n=43A180380
- Number of equilateral triangles bounded by the sides and diagonals of a regular 3n-gon.at n=12A238822
- Number of magic labelings with magic sum n of 4th graph shown in link.at n=6A244872
- Triangle read by rows: T(n,k) is the number of weighted lattice paths in B(n) having k returns to the horizontal axis (i.e., (1,-1)-steps ending on the horizontal axis). The members of B(n) are paths of weight n that start in (0,0), end on but never go below the horizontal axis, and whose steps are of the following four kinds: a (1,0)-step with weight 1; a (1,0)-step with weight 2; a (1,1)-step with weight 2; a (1,-1)-step with weight 1. The weight of a path is the sum of the weights of its steps.at n=41A246179
- Euler pseudoprimes to base 6: composite integers such that abs(6^((n - 1)/2)) == 1 mod n.at n=23A262053
- Numbers k such that there are exactly four biquadratefree powerful numbers (A338325) between k^2 and (k+1)^2.at n=14A338391
- Sphenic numbers k such that floor(log(k)/log(lpf(k))) = 1+floor(log(k)/log(p)) for all primes p | k such that p > lpf(k), where lpf = A020639(k).at n=38A383177