17033
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17034
- 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
- 17032
- Möbius Function
- -1
- Radical
- 17033
- 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
- 159
- 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
- 1965
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form n^2 + n + 3.at n=16A027753
- Recip transform of 2*(1 + x^4 + x^5)-1/(1-x).at n=8A049158
- a(n) is the least prime p, such that next_prime(2*p) - 2*p = 2*n - 1.at n=28A059846
- Surround numbers of a length 2n zig-zag.at n=37A060641
- Numbers k such that 96^k - 95^k is prime.at n=6A062662
- First prime after phi(prime(n)^2).at n=31A079477
- a(1)=2, a(2)=3, a(3)=5; a(n) = largest prime < a(n-1)+a(n-2)+a(n-3).at n=16A126092
- a(n) = prime(2*n^2) - 2*n^2.at n=32A141086
- Primes congruent to 19 mod 47.at n=39A142370
- Primes congruent to 20 mod 53.at n=34A142550
- Primes congruent to 41 mod 59.at n=27A142768
- Primes congruent to 14 mod 61.at n=31A142812
- Primes p such that (p-1)*p*(p+1)-p-2 and (p-1)*p*(p+1)+p+2 are primes.at n=23A154942
- Primes p such that both p^5 - 6 and p^5 + 6 are prime.at n=7A157256
- a(n) = 12*n^2 - 8*n + 9.at n=37A167585
- Cyclops emirps.at n=22A183057
- Irregular array read by rows. a(n) is the largest element in the primitive Collatz-like 3x-k cycle associated with A226623(n).at n=7A226624
- Primes of the form 2*n^2 + 62*n + 29.at n=20A243891
- Non-palindromic balanced primes.at n=32A256076
- Cyclops primes that remain prime after being "blinded".at n=37A329737