17043
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 9837
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9504
- Möbius Function
- 1
- Radical
- 17043
- Omega Function (Ω)
- 4
- 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
- 79
- 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
- a(n) = [ a(n-1)/a(1) ] + [ a(n-1)/a(2) ] + ... + [ a(n-1)/a(n-1) ] for n >= 3, with initial terms 1,1.at n=11A022855
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 4.at n=36A025010
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 11 ones.at n=38A031779
- Values of A038005 ending in 3.at n=18A038013
- Number of points in N^n of norm <= 3.at n=12A055418
- Numbers k such that the number of primes between k and 2k (inclusive) is equal to the number of primes between k and reverse(k) (inclusive).at n=27A074814
- Smallest positive number of "triangular" shuffles of n(n+1)/2 cards needed to restore them to their original order.at n=13A122158
- 23 times triangular numbers.at n=38A195039
- Expansion of 1/(1 - x - x^2 + x^6 - x^8).at n=22A225393
- Difference between 10^n and the first prime of gap 4 > 10^n.at n=41A227432
- Products p*q*r*s of distinct primes for which (p*q*r*s - 1)/2 is prime.at n=35A234498
- Number of partitions p of n such that m(p) < m(c(p)), where m = maximal multiplicity of parts, and c = conjugate.at n=39A240726
- Numbers n such that there are precisely 5 groups of orders n and n + 1.at n=39A295991
- a(n) is the denominator of the sum of reciprocals of primes not exceeding n and not dividing binomial(2*n, n).at n=27A334075