4583
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4584
- 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
- 4582
- Möbius Function
- -1
- Radical
- 4583
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 620
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of distinct values taken by 4^4^...^4 (with n 4's and parentheses inserted in all possible ways).at n=11A003019
- Value of an urn with n balls of type -1 and n balls of type +1.at n=7A003127
- a(1)=3, b(n) = Product_{k=1..n} a(k), a(n+1) is the smallest prime factor of b(n)-1.at n=35A005265
- Primorial -1 primes: primes p such that -1 + product of primes up to p is prime.at n=14A006794
- Number of unlabeled trivalent 3-connected bipartite planar graphs with 2n nodes.at n=15A007083
- Coordination sequence T1 for Zeolite Code EPI.at n=42A008090
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=43A023244
- Primes that remain prime through 3 iterations of function f(x) = 2x + 7.at n=8A023275
- Primes that remain prime through 3 iterations of function f(x) = 10x + 3.at n=18A023300
- Primes that remain prime through 4 iterations of function f(x) = 2x + 7.at n=2A023305
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=20A027662
- 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=9A031565
- Upper prime of a difference of 16 between consecutive primes.at n=14A031935
- Primes of form x^2 + 94*y^2.at n=34A033204
- Decimal part of a(n)^(1/3) starts with reversal of its integer part: first term of runs.at n=14A034309
- Trajectory of 48 under prime factor concatenation procedure.at n=37A037941
- Coordination sequence T1 for Zeolite Code ESV.at n=45A038409
- Euclid-Mullin sequence (A000945) with initial value a(1)=59 instead of a(1)=2.at n=6A051321
- Number of partitions of n into distinct summands (A000009), plus 1 (apart from the first term).at n=52A052839
- Erroneous version of A006794.at n=13A055511