4831
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4832
- 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
- 4830
- Möbius Function
- -1
- Radical
- 4831
- 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
- 121
- 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
- 650
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form k^2 + k + 1.at n=23A002383
- Primes of the form 2*k^2 + 29.at n=43A007641
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=37A024835
- 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 69.at n=8A031567
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=10A031812
- Upper prime of a difference of 14 between consecutive primes.at n=25A031933
- "DIK" (bracelet, indistinct, unlabeled) transform of 1,2,3,4,...at n=11A032287
- Primes of form x^2 + 94*y^2.at n=36A033204
- Dirichlet convolution of [ 1,1,1,... ] with Ramanujan numbers (A000594).at n=4A034777
- Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(2,5) = cn(3,5) <= cn(0,5).at n=11A036882
- Primes p such that x^23 = 2 has no solution mod p.at n=29A040984
- Lower prime of the second gap of 2n between primes.at n=14A046789
- Number of colors that can be mixed with up to n units of yellow, blue, red.at n=31A048134
- Primes p such that pp'-2 is prime, where p' denotes the next prime after p.at n=26A048797
- Primes of form 210*p + 1 where p is a prime.at n=7A051648
- a(n) = 4*n^2 - 10*n + 7.at n=35A054554
- Primes p whose period of reciprocal equals (p-1)/6.at n=31A056211
- a(n+1) = smallest prime p in the range a(n) < p < a(1)*a(2)*...*a(n) such that p-1 divides a(1)*a(2)*...*a(n); or if no such prime p exists, then a(n+1) = smallest prime > a(n).at n=44A057459
- Initial prime in first sequence of n primes congruent to 1 modulo 5.at n=2A057618
- Smallest prime p of two consecutive primes, p < q, such that gcd( p-1, q-1 ) = 2n.at n=14A058264