4733
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4734
- 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
- 4732
- Möbius Function
- -1
- Radical
- 4733
- 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
- 90
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 639
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = largest prime factor of n^n - 1.at n=5A006486
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=23A007353
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=25A020356
- a(n) = floor(C(2n,n)/2^n).at n=15A024502
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=28A024974
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=42A025396
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=28A025400
- Lower prime of a difference of 18 between consecutive primes.at n=17A031936
- a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=39A033679
- Coordination sequence T1 for Zeolite Code AEN.at n=43A047950
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=11A050968
- n-th occurrence of gap of n between primes occurs at prime a(n), n even, n >= 2.at n=8A054587
- Primes p whose period of reciprocal equals (p-1)/4.at n=41A056157
- a(1)=5, a(n) is the smallest prime dividing 4*Q^2 + 1 where Q is the product of all previous terms in the sequence.at n=17A057207
- Primes p with the following property: let d_1, d_2, ... be the distinct digits occurring in the decimal expansion of p. Then for each d_i, dropping all the digits d_i from p produces a prime number. Leading 0's are not allowed.at n=31A057876
- Primes with 3 distinct digits that remain prime (no leading zeros allowed) after deleting all occurrences of any one of its distinct digits.at n=22A057879
- The first of two consecutive primes with equal digital sums.at n=13A066540
- a(n) = largest prime factor of 7^n-1.at n=13A074249
- a(n) = largest prime factor of 7^n-1.at n=6A074249
- Primes for which the three closest primes are smaller.at n=33A074982