4751
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4752
- 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
- 4750
- Möbius Function
- -1
- Radical
- 4751
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 165
- 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
- 640
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p.at n=27A001583
- Molien series for cyclic group of order 5.at n=25A008646
- a(n) = Sum_{k=0..n} ceiling(k^3/n).at n=25A014813
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=17A020399
- a(n) = Sum_{k >= 1} floor((1+sqrt(2))^(n-k)).at n=9A020962
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=41A023261
- Numbers whose least quadratic nonresidue (A020649) is 13.at n=12A025025
- Number of distinct products ijk with 0 <= i < j < k <= n.at n=44A027429
- 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=24A031565
- Upper prime of a difference of 18 between consecutive primes.at n=17A031937
- Primes that are concatenations of k with k + 4.at n=7A032627
- Primes of form x^2 + 94*y^2.at n=35A033204
- Primes of form x^2+86*y^2.at n=25A033255
- "BHK" (reversible, identity, unlabeled) transform of A035353.at n=10A035355
- Number of partitions of n into parts 3k or 3k+2.at n=50A035361
- Schoenheim bound L_1(n,5,4).at n=24A036832
- Starting positions of strings of 2 8's in the decimal expansion of Pi.at n=35A050263
- Starting position of the first occurrence of a string of at least n '8's in the decimal expansion of Pi.at n=3A050287
- Starting position of the first occurrence of a string of at least n '8's in the decimal expansion of Pi.at n=2A050287
- Automorphic primes: p such that p^p ends with the digits of p.at n=33A052228