17203
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17204
- 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
- 17202
- Möbius Function
- -1
- Radical
- 17203
- 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
- 66
- 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
- 1981
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Incorrect duplicate of A297408.at n=12A007355
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T5 atom.at n=13A019079
- Numbers whose set of base-16 digits is {3,4}.at n=22A032840
- Numbers whose base-4 representation contains exactly four 0's and three 3's.at n=20A045084
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=34A046020
- Primes at which the difference pattern X42Y (X and Y >= 6) occurs in A001223.at n=32A052164
- Sum of composite numbers between prime p and nextprime(p) is palindromic.at n=19A054266
- Sum of composite numbers between prime p and nextprime(p) is palindromic with restriction 'p + 1 <> sum'.at n=13A054267
- Prime number spiral (clockwise, Southwest spoke).at n=22A054568
- Primes p such that x^61 = 2 has no solution mod p.at n=34A059230
- a(n) = floor(surface area of a sphere with radius n).at n=36A066644
- Number of n-digit primes ending in 9 in base 10.at n=5A087633
- a(1) = 1; then primes associated with A091850.at n=35A091851
- Primes arising as A093929(n)*A093929(n+1)+2.at n=30A093930
- a(n) is least prime p such that 7 is the n-th term in the Euclid-Mullin sequence starting at p, or 0 if no such prime p exists.at n=33A094153
- Numbers k that divide the sum of the digits of k^k.at n=18A108827
- Prime numbers p such that p^3 - (p-1)^2 and p^3 + (p-1)^2 are also primes.at n=25A137474
- Primes p such that the left prime neighbors p1, p2 of p as well as the right prime neighbors q1, q2 of p form twin prime pairs and the sum p1 + p2 + p + q1 + q2 is also prime.at n=17A138396
- Primes congruent to 31 mod 53.at n=38A142561
- Primes congruent to 34 mod 59.at n=32A142761