17480
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 43200
- Proper Divisor Sum (Aliquot Sum)
- 25720
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6336
- Möbius Function
- 0
- Radical
- 4370
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 110
- 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
- Perimeters of more than one primitive Pythagorean triangle.at n=29A024408
- Numbers k such that 183*2^k+1 is prime.at n=32A032468
- Number of diagonal dissections of an n-gon into 3 regions.at n=19A033275
- T(n,n-2), array T as in A038738.at n=8A038739
- T(2n+5,n), array T as in A038792.at n=8A038798
- Numbers whose base-4 representation has exactly 8 runs.at n=3A043599
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 7.at n=24A043844
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 8.at n=3A043850
- Numbers n such that number of runs in the base 4 representation of n is congruent to 8 mod 9.at n=3A043866
- Numbers k such that number of runs in the base 4 representation of k is congruent to 8 mod 10.at n=3A043875
- Number of 3-covers of an unlabeled n-set.at n=15A055195
- Sum of diagonal elements and those below it for a square matrix of integers, starting with 1.at n=14A066804
- Graham-Pollak sequence with initial term 8.at n=22A091523
- a(n) = Sum_{k=0..floor(n/2)} binomial(n-k+4, k).at n=17A099572
- Structured triakis tetrahedral numbers (vertex structure 4).at n=22A100175
- Bases of right triangles that are solutions to Leech's problem A117319.at n=18A117320
- a(1)=2; for n > 1, a(n) = 2^(n-2) + (1/(2n-2)) * Sum_{ d divides n-1 } phi(2d)*2^((n-1)/d).at n=15A216957
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some king-move neighbor, without consecutive moves in the same direction.at n=12A221688
- Number of compositions [p(1), p(2), ..., p(k)] of n such that p(j) - p(j-1) <= 2.at n=16A224959
- Number of 2 X n 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=18A241055