4651
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4652
- 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
- 4650
- Möbius Function
- -1
- Radical
- 4651
- 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
- 33
- 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
- 629
- 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)/3.at n=42A001133
- Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p.at n=25A001583
- Steffensen's bracket function [n,2].at n=6A002051
- Quintan primes: p = (x^5 - y^5)/(x - y).at n=5A002649
- a(n) = 6^n - 5^n.at n=5A005062
- a(n) = floor(n(n-1)(n-2)(n-3)/20).at n=19A011930
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/25 ).at n=20A011935
- Quadruples of different integers from [ 1,n ] with no common factors between triples.at n=21A015625
- Quadruples of different integers from [ 2,n ] with no common factors between triples.at n=21A015629
- Duplicate of A005062.at n=5A016160
- Powers of fifth root of 14 rounded down.at n=16A018153
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=24A020896
- a(n) = (n+1)^5 - n^5.at n=5A022521
- a(n) = 6^n - n^5.at n=5A024067
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=31A024846
- 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=15A031565
- Primes that are concatenations of n with n + 5.at n=4A032628
- Trajectory of 20 under prime factor concatenation procedure.at n=12A037926
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=12A046014
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= n/3.at n=14A047194