17327
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17328
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 17326
- Möbius Function
- -1
- Radical
- 17327
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 141
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1992
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=30A052233
- a(n) = 48*n^2 - 1.at n=19A065532
- Smallest number m so that n^2 + A000330(m) is also a square, i.e., n^2 + (1 + 4 + 9 + 16 + ... + m^2) = w^2 for some w.at n=19A065610
- a(n)=sum(k=1,n,C(n,n reduced (mod k))).at n=14A072953
- Primes produced by repeated application of the formula p -> (10p +- 3) starting at the prime 2.at n=13A086322
- Primes of the form 3*m^2 - 1.at n=24A089682
- Value of C in y = x^2 + 5x + C such that y is prime for all x = 0 to 3.at n=39A097434
- Number of ordered triples (i,j,k) in range [0..n] satisfying i == j mod 2 and j == k mod 3.at n=46A115520
- Prime sums of 6 positive 5th powers.at n=29A123035
- (Product of successive primes minus 2) divided by 3 is prime.at n=11A124670
- q-Bell numbers for q=3; eigensequence of A022167, which is the triangle of Gaussian binomial coefficients [n,k] for q=3.at n=6A125813
- Primes congruent to 49 mod 53.at n=37A142579
- Primes congruent to 40 mod 59.at n=30A142767
- Primes congruent to 3 mod 61.at n=33A142801
- Eigentriangle of triangle A022167: T(n,k) = A022167(n,k) * A125813(k).at n=27A143777
- Primes of the form 12*n^2-1.at n=23A143830
- a(n) = 12*n^2 - 1.at n=38A158463
- Primes p such that (p reversed)-10 is a square.at n=24A167475
- Least prime p such that p-2 has n divisors, or 0 if no such prime exists.at n=35A167675
- Number of 0..n arrays x(0..9) of 10 elements with zero 6th differences.at n=23A200333