4519
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4520
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4518
- Möbius Function
- -1
- Radical
- 4519
- 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
- 90
- 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
- 614
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=30A001136
- Primes that divide at least one term of Sylvester's sequence s = A000058: s(n+1) = s(n)^2 - s(n) + 1, s(0) = 2.at n=19A007996
- Primes that remain prime through 2 iterations of function f(x) = 8x + 9.at n=29A023264
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 67.at n=3A031565
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=6A031816
- Numbers k such that 179*2^k+1 is prime.at n=22A032466
- T(n,n-2), array T as in A047030.at n=7A047034
- Numerators of b(n) = (1/16^n)*(4/(8*n+1) - 2/(8*n+4) - 1/(8*n+5) - 1/(8*n+6)).at n=10A048581
- Sum of digits of prime p is substring of p.at n=38A052019
- Number of objects generated by the Combstruct grammar defined in the Maple program. See the link for the grammar specification.at n=8A052884
- Fifth term of strong 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=12A054812
- Primes p whose period of reciprocal equals (p-1)/6.at n=28A056211
- Primes of the form 4*k^2 + 163.at n=28A057604
- Primes p such that p and p^2 have same digit sum.at n=8A058370
- Primes p such that x^18 = 2 has no solution mod p, but x^6 = 2 has a solution mod p.at n=12A059664
- Primes p such that x^54 = 2 has no solution mod p, but x^6 = 2 has a solution mod p.at n=13A059665
- Primes p such that x^36 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=7A059668
- Numbers which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end).at n=50A068679
- Primes which yield a prime whenever a 1 is inserted anywhere in them (including at the beginning or end).at n=16A069246
- Primes p such that x^3 = 2 has a solution mod p, but x^(3^2) = 2 has no solution mod p.at n=25A070180