5519
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5520
- 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
- 5518
- Möbius Function
- -1
- Radical
- 5519
- 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
- 160
- 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
- 729
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Supersingular primes of the elliptic curve X_0 (11).at n=12A006962
- a(n) = prime(n^2).at n=26A011757
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=32A023280
- Primes that remain prime through 4 iterations of function f(x) = 3x + 10.at n=8A023310
- Discriminants of quintic fields with 2 complex conjugates (negated).at n=2A023684
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=15A025025
- Primes p such that digits of p appear in p^2 and p^3.at n=31A030085
- [ exp(1/11)*n! ].at n=6A030947
- 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 73.at n=18A031571
- Number of partitions of n into parts not of the form 17k, 17k+8 or 17k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=32A035969
- 3^n-th prime.at n=6A038833
- Numerators of continued fraction convergents to sqrt(135).at n=8A041246
- Numerators of continued fraction convergents to sqrt(375).at n=8A041710
- p, p+2 and p+8 are primes.at n=41A046134
- p, p+8 and p+12 are primes.at n=35A046141
- Largest number m with A046805(m) = n.at n=46A046806
- Primes p such that p+2 and p+8 are also primes but p+6 is not.at n=31A049437
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 4.at n=16A050666
- Prime number spiral (clockwise, Northwest spoke).at n=13A053999
- a(0)=1, a(n) = prime(n^3).at n=9A055875