4679
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4680
- 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
- 4678
- Möbius Function
- -1
- Radical
- 4679
- 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
- 46
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 633
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=33A007354
- Coordination sequence T1 for Zeolite Code NAT.at n=46A008203
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=15A008457
- From table of maximal epacts e(p) and corresponding primes p, for x_1=2, x_{m+1} = (x_m)^2+1; sequence gives p.at n=22A014424
- Numbers k such that the continued fraction for sqrt(k) has period 56.at n=18A020395
- Numbers whose least quadratic nonresidue (A020649) is 11.at n=26A025024
- 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=18A031565
- Primes of form x^2+95*y^2.at n=33A033206
- Denominators of continued fraction convergents to sqrt(722).at n=7A042391
- Primes whose consecutive digits differ by 1 or 2.at n=46A048413
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 3, and a(3) = 1.at n=42A050057
- Primes p such that p, p+12, p+24 are consecutive primes.at n=3A052188
- Primes q of form q = 10p + 9, where p is also prime.at n=44A055784
- Smallest odd prime p such that Q(sqrt(-p)) has class number 2n+1.at n=45A060651
- Primes with 11 as smallest positive primitive root.at n=21A061324
- Smallest prime which is a sum of n distinct primes.at n=47A068873
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=19A075707
- a(n) = prime(n*(n+1)/2+3).at n=35A078724
- Class 6- primes (for definition see A005109).at n=9A081425
- Numbers n such that 2*10^n + 3 is prime.at n=17A081677