17569
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17570
- 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
- 17568
- Möbius Function
- -1
- Radical
- 17569
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 172
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2019
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 3x + 2.at n=16A023277
- Primes p such that x^61 = 2 has no solution mod p.at n=35A059230
- Primes that are each the sum of two, three, and four consecutive composite numbers.at n=21A060339
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6, 2]; short d-string notation of pattern = [462].at n=26A078851
- Smallest prime of the form 1 followed by a perfect power.at n=19A089773
- Greatest prime factor of A104357(n) = A104350(n) - 1.at n=10A104359
- Minimal set in the sense of A071062 of prime-strings in base 12 for primes of the form 4n+1.at n=27A111057
- a(0)=1, a(1)=1, a(n)=7*a(n/2) for n=2,4,6,..., a(n)=6*a((n-1)/2)+a((n+1)/2) for n=3,5,7,....at n=39A116522
- Prime sums of 6 positive 5th powers.at n=31A123035
- Prime numbers p such that p +- ((p-1)/4) are primes.at n=19A137705
- Primes p1 such that p1^2+p2^3=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=18A138715
- Primes of the form 76x^2+20xy+145y^2.at n=33A140629
- Primes congruent to 26 mod 53.at n=35A142556
- Primes congruent to 46 mod 59.at n=31A142773
- Primes p such that p plus or minus the sum of its digits squared yields a prime in both cases.at n=37A179550
- a(n) = (6*11^n - 1)/5.at n=4A199023
- Primes of the form 8n^3-7.at n=2A200958
- Primes congruent to 1 mod 61.at n=35A212378
- Primes p such that 2p^2-1, 3p^2-2 and 4p^2-3 are also prime.at n=9A213079
- Primes p such that 2p^2-1, 3p^2-2, 4p^2-3, and 5p^2-4 are also prime.at n=0A213107