17333
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17334
- 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
- 17332
- Möbius Function
- -1
- Radical
- 17333
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1993
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(n*phi^18), where phi is the golden ratio, A001622.at n=3A004933
- Numerators of continued fraction convergents to sqrt(829).at n=8A042600
- p(n+1) is next smallest prime beginning with p(n), initial prime is 17.at n=3A048555
- Primes produced by repeated application of the formula p -> (10p +- 3) starting at the prime 2.at n=14A086322
- n^2-79*n+1601 as n runs through the lucky numbers.at n=35A087867
- Primes from merging of 5 successive digits in decimal expansion of Zeta(2) or (Pi^2)/6.at n=17A105378
- Primes p such that p's set of distinct digits is {1,3,7}.at n=17A108382
- Least p=prime(k) for which A118123(k)=n.at n=32A117877
- Primes congruent to 46 mod 59.at n=30A142773
- Primes congruent to 9 mod 61.at n=33A142807
- Primes of the form : 2*p+1=p1(prime), 2*p1+3=p2(prime), 2*p2+5=p3(prime).at n=31A143912
- Primes p such that 6p-7, 6p-5, 6p-1 are all prime.at n=39A157042
- Primes containing the string 333.at n=9A166581
- Primes with exactly three 3's.at n=21A178552
- Numbers that have 10 terms in their Zeckendorf representation.at n=3A179250
- Primes with eight embedded primes.at n=5A179916
- Prime-generating polynomial: a(n) = 16*n^2 - 292*n + 1373.at n=42A181969
- Primes with equal number of 1's and 0's in their representation in base of Fibonacci numbers (A014417).at n=10A182575
- Smallest prime with n terms in its Zeckendorf representation.at n=9A182667
- Irregular triangle, read by rows, of primes with prefix n and digits "3" appended, otherwise 0.at n=27A185684