17461
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 18400
- Proper Divisor Sum (Aliquot Sum)
- 939
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16524
- Möbius Function
- 1
- Radical
- 17461
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Strong pseudoprimes to base 53.at n=16A020279
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 100 ones.at n=4A031868
- Composite numbers whose prime factors contain no digits other than 1 and 9.at n=16A036309
- A001067 appears to count the periodic points for a certain map. If so, then this is the sequence of the numbers of orbits of length n.at n=9A060309
- Numbers n for which there are exactly seven k such that n = k + reverse(k).at n=35A072431
- If p(k) is the k-th prime, then the n-th set of 3 consecutive cousin prime pairs starts at p(a(n)).at n=22A095970
- a(n) = 2*a(n-1) + 5*a(n-2) + 2*a(n-3).at n=8A101604
- Equal divisions of the octave with progressively increasing consistency levels.at n=12A116474
- Equal divisions of the octave with progressively increasing consistency limits and distinct approximations for all the ratios in the tonality diamond of that limit.at n=15A116475
- Equal divisions of the octave with nondecreasing consistency levels.at n=20A117577
- Equal divisions of the octave with nondecreasing consistency limits and distinct approximations for all the ratios in the tonality diamond of that limit.at n=51A117578
- Denominators of points on x^4+y^4+z^4=353.at n=6A121043
- a(n) is the smallest odd number that makes a(n)*2^N(n)-1 prime, where N(n) is the n-th Mersenne number that makes 2^N(n)-1 prime.at n=22A135434
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any horizontal, vertical or antidiagonal neighbor, and containing the value n(n+1)/2-2.at n=18A211924
- Self-inverse permutation of natural numbers: a(0) = 0, a(1) = 1, and for n > 1, if A117966(n) < 0, a(n) = A117967(1+a(-(A117966(n)))), otherwise a(n) = A117968(a(A117966(n)-1)).at n=28A246211
- Maximal term of TRIP-Stern sequence of level n corresponding to permutation triple (e,132,e).at n=30A271489
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 573", based on the 5-celled von Neumann neighborhood.at n=24A272997
- Number of irredundant sets in the (2n-1)-triangular snake graph (for n > 1).at n=10A347725
- Binomial transform of Gould's sequence (A001316).at n=12A368655
- Expansion of g.f. A(x) satisfying 0 = Sum_{k=0..n} (-1)^k * binomial(3*n-2*k, k) * ([x^k] A(x)^n) for n >= 1.at n=5A375441