5119
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5120
- 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
- 5118
- Möbius Function
- -1
- Radical
- 5119
- 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
- 116
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 685
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=24A005471
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=32A005735
- Primes of form 2n^2 - 2n + 19.at n=38A007639
- a(n) = 2*a(n-2) + 1.at n=20A010737
- Values of k at which the period of the continued fraction for sqrt(k) sets a new record.at n=40A013645
- Primes that remain prime through 3 iterations of function f(x) = 10x + 3.at n=20A023300
- a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026769.at n=5A027241
- 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 71.at n=7A031569
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 72 ones.at n=1A031840
- Lists of 4 primes in arithmetic progression; common difference 6.at n=15A033449
- The number of decompositions of n into different parts relatively prime to n.at n=52A036998
- Sums of 11 distinct powers of 2.at n=12A038462
- Denominators of continued fraction convergents to sqrt(679).at n=7A042305
- Numbers having three 7's in base 8.at n=29A043451
- Primes with first digit 5.at n=32A045711
- 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=17A046124
- Primes of the form m*2^phi(m)-1 with phi(m) the Euler function, in order of increasing m.at n=8A046153
- Expansion of Product_{m>=1} (1+x^m)^A000009(m).at n=20A050342
- Primes of form 5*2^n-1.at n=3A050522
- a(n) = 5*2^(n-1) - 1, n>0, with a(0)=1.at n=11A052549