17490
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 46656
- Proper Divisor Sum (Aliquot Sum)
- 29166
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4160
- Möbius Function
- -1
- Radical
- 17490
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- yes
- Odd
- no
Appears in sequences
- Generating function = Product_{m>=1} 1/(1 - x^m)^2; a(n) = number of partitions of n into parts of 2 kinds.at n=19A000712
- Number of nonseparable rooted toroidal maps with n + 3 edges and n + 1 vertices.at n=7A006408
- Nearest integer to (n/2)^4.at n=23A011863
- Numbers whose sum of divisors is a sixth power.at n=3A019424
- Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=39A045613
- a(n) is the smallest number whose sum of divisors is 6^n.at n=6A048251
- Numbers whose sum of divisors is 6^6 = 46656.at n=0A048256
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,9.at n=20A064241
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,13.at n=10A064243
- Numbers k such that usigma(k) is a square and sets a new record for such squares.at n=23A064443
- Matrix product of Stirling1-triangle A008275(n,k) and unsigned Lah-triangle |A008297(n,k)|.at n=62A079639
- Number of partitions of 2*n + 1 into parts of two kinds.at n=9A100535
- a(1) is the least k such that j(1) = k*2*3 - 1 is the lesser of a twin prime pair; then for n > 1, a(n) is the least k greater than a(n-1) such that j(n) = k*j(n-1)*(j(n-1)+2) - 1 is the lesser of a twin prime pair.at n=5A107485
- Number of threshold functions on n X n grid.at n=13A114146
- a(n) = J_4(n)/240.at n=40A115002
- Duplicate of A114146.at n=13A115027
- Sum of the n-th primorial and the n-th compositorial number.at n=9A117733
- n^4 - 1 divided by its largest fourth power divisor.at n=21A128251
- Sum of even products minus sum of odd products of different pairs of numbers from 1 to n.at n=22A134449
- 10^n-th number divisible by exactly 5 distinct primes.at n=1A143043