17417
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
- 17418
- 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
- 17416
- Möbius Function
- -1
- Radical
- 17417
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2003
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CON = CIT-1 H2[B2Si54O112] starting with a T7 atom.at n=13A019097
- Primes of the form k^2 - 7.at n=13A028883
- Prime number spiral (clockwise, West spoke).at n=22A054570
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=42A054827
- Lesser of twin primes whose average is 6 times a prime.at n=39A060213
- Primes having only {1, 4, 7} as digits.at n=39A079651
- Number of n X n symmetric positive definite matrices with 2's on the main diagonal and 1's and 0's elsewhere.at n=5A085657
- Primes arising in A090513.at n=3A090514
- Primes prime(k) such that (prime(k-1) + prime(k+1) + prime(k+2))/prime(k) = 3.at n=31A094933
- Lower bound twin primes such that their digital reverse is prime and a lower bound twin prime.at n=33A101783
- Lesser of a twin-prime pair where both are expressible as the sum of two triangular numbers.at n=32A118638
- Star of David bonding digraph: characteristic polynomial: x(-18 - 10 x + 147 x^2 + 71 x^3 - 312 x^4 - 221 x^5 + 140 x^6 + 121 x^7 - 17 x^8 - 21 x^9 + x^11).at n=5A121962
- Primes of the form p^2 + q^8 where p and q are primes.at n=6A122710
- Lesser of twin primes isolated from neighboring primes by +- 10 (or more).at n=33A138063
- Primes congruent to 33 mod 53.at n=39A142563
- Primes congruent to 12 mod 59.at n=35A142739
- Primes congruent to 32 mod 61.at n=28A142830
- Primes of the form XYX, where Y is a single digit.at n=23A154270
- Primes in A168472.at n=14A168473
- Prime numbers > 10000 such that all the substrings of length >= 4 are primes (substrings with leading '0' are considered to be nonprime).at n=23A211686