17360
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
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 47616
- Proper Divisor Sum (Aliquot Sum)
- 30256
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 2170
- Omega Function (Ω)
- 7
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- Generalized Stirling numbers, [n+9,9]_5.at n=3A001724
- Expansion of e.g.f. cosh(tan(x)*arcsin(x)) (only even powers).at n=4A012384
- Expansion of e.g.f. cosh(arctan(x)*sin(x)) (only even powers).at n=4A012429
- sec(arctan(x)*tan(x))=1+12/4!*x^4+17360/8!*x^8-241920/10!*x^10...at n=4A012454
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,2.at n=5A037571
- a(n) = (n-3)*A006918(n-2)/2 for n >= 2, with a(0) = a(1) = 0.at n=31A038376
- Gaps of 8 in sequence A038593 (upper terms).at n=11A038656
- Numbers that are divisible by 10 and are differences between two cubes in at least one way.at n=23A038854
- Numbers k such that sigma (x) = k has exactly 12 solutions.at n=19A060676
- Sum of divisors of (prime(n)+1)*(prime(n+1)+1)/4.at n=34A079089
- Concatenation of first n terms of A091791 divided by (2n-1).at n=3A091792
- Expansion of (eta(q^13) / eta(q))^2 in powers of q.at n=19A121597
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 1), (0, 0, 1), (0, 1, 1), (1, 0, -1)}.at n=8A150114
- Triangle, read by rows, where T(n,k) = Sum_{i=k..n-1} T(n-1,i)*T(i+1,k+1) for n>k with T(n,n) = n+1 for n>=0.at n=16A152541
- Column 1 of triangle A152541.at n=4A152543
- Partial sums of A036967.at n=17A176273
- Number of (n+1) X (n+1) -4..4 symmetric matrices with every 2 X 2 subblock having sum zero and three distinct values.at n=10A211491
- Triangle of earliest friendly numbers having n friends.at n=15A211679
- a(n) = (n+1)*(n-2)*(n-3)/2.at n=32A212343
- a(n) is a refactorable number and the sum of all refactorable numbers <= a(n) is also a refactorable number.at n=32A235177