17489
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17490
- 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
- 17488
- Möbius Function
- -1
- Radical
- 17489
- 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
- 110
- 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
- 2012
- 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) = 10x + 3.at n=39A023300
- Primes that remain prime through 4 iterations of function f(x) = 10x + 3.at n=3A023328
- a(n) = T(4,n), array T given by A048471.at n=7A036545
- Sums of 5 distinct powers of 4.at n=28A038473
- Last member of a sexy prime quadruple: value of p+18 such that p, p+6, p+12 and p+18 are all prime.at n=32A046124
- Fourth term of balanced prime quartets: p(m-2)-p(m-3) = p(m-1)-p(m-2) = p(m)-p(m-1).at n=12A054803
- Primes p for which the period of reciprocal = (p-1)/8.at n=27A056213
- Primes p such that p+7 == 0 (mod phi(p+7)).at n=27A067606
- Primes p such that the number of distinct prime divisors of all composite numbers between p and the next prime is 5.at n=26A075585
- Primes of the form x^2 + (x+3)^2.at n=22A076727
- Primes which can be expressed as sum of distinct powers of 4.at n=22A077718
- Smaller member of a twin prime pair with a triangular sum.at n=11A086816
- a(n) = lesser of a pair of twin primes p, q=p+2 such that product of first n primes plus p is a prime and also product of first n primes plus q is a prime.at n=39A090795
- Beginning with 3, least prime, greater than the previous term, such that the arithmetic mean of first n terms is a prime.at n=41A090918
- 1+n^2+n^3+n^5+n^7; 10101101 in base n.at n=3A123111
- Main diagonal of prime power sum array.at n=3A123113
- Primes congruent to 52 mod 53.at n=39A142582
- Primes congruent to 25 mod 59.at n=34A142752
- Primes congruent to 43 mod 61.at n=30A142841
- a(n) = A145818(2n-1).at n=43A145850