17419
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17420
- 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
- 17418
- Möbius Function
- -1
- Radical
- 17419
- 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
- 2004
- 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) = 2x + 5.at n=39A023274
- Primes of form k^2 - 5.at n=27A028877
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 74 ones.at n=17A031842
- Primes p such that p, p+12, p+24 are consecutive primes.at n=12A052188
- List of triples of primes with common difference 12.at n=36A128312
- Primes congruent to 35 mod 53.at n=39A142565
- Primes congruent to 14 mod 59.at n=36A142741
- Primes congruent to 34 mod 61.at n=31A142832
- Triangle formed by coefficients of the expansion of p(x, n), where p(x,n) = (1 + 2*x - x^2)^(n + 1)*Sum_{j >= 0} (j+1)^n*(-2*x + x^2)^j.at n=52A156901
- a(1) = 2; a(n) is twice the previous term if it is prime, otherwise the previous term minus its lowest prime factor plus one.at n=40A180625
- First of a run of 4 or more consecutive primes which all equal 1 (mod 3).at n=35A185942
- Numbers k such that 3*6^k + 1 is prime.at n=22A186112
- Primes of the form 9n^2 - 5.at n=8A201960
- Numbers n such that 2*n + {3, 5, 9, 11} are all primes.at n=23A222960
- Primes p such that f(f(p)) is prime, where f(x) = x^4-x^3-x^2-x-1.at n=35A230029
- Primes p such that p - 2 and p^3 - 2 are also prime.at n=39A240126
- Greater of twin primes of (40n-23,40n-21).at n=23A244505
- Number of factorizations of 2^n into factors > 1 with even integer average.at n=49A326671
- Primes p such that (p^2 + 1)/2 and 2*p^2 - 1 are also prime.at n=42A340865
- Discriminants of imaginary quadratic fields with class number 33 (negated).at n=29A351671