4483
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4484
- 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
- 4482
- Möbius Function
- -1
- Radical
- 4483
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 609
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes whose reversal is a square.at n=8A007488
- Coordination sequence T2 for Zeolite Code DDR.at n=42A008072
- Primes of the form n^2 - 6.at n=11A028880
- 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 65.at n=22A031563
- Lucky numbers with size of gaps equal to 18 (upper terms).at n=25A031901
- Lower prime of a difference of 10 between consecutive primes.at n=61A031928
- Number of 5-ary rooted trees with n nodes and height at most 9.at n=12A036620
- Positive numbers having the same set of digits in base 7 and base 8.at n=38A037438
- Number of primes < n^3.at n=34A038098
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=21A046006
- Primes with multiplicative persistence value 5.at n=6A046505
- Euclid-Mullin sequence (A000945) with initial value a(1)=59 instead of a(1)=2.at n=11A051321
- Primes base 10 that remain primes in five bases b, 2<=b<=10, expansions interpreted as decimal numbers.at n=19A052029
- Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6*n.at n=28A052354
- Primes p such that a pure prime power occurs between p and the next prime.at n=36A053607
- Largest prime below prime(n)^2 (A001248).at n=18A054270
- Coordination sequence T4 for Zeolite Code MTF.at n=40A057307
- Primes of form n^2 + 19n + 17.at n=45A059425
- Largest prime < a nontrivial power of a prime.at n=40A060845
- a(n) is the least k > 0 such that sigma(k!) >= n*k!.at n=15A061556