4591
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4592
- 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
- 4590
- Möbius Function
- -1
- Radical
- 4591
- 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
- 170
- 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
- 621
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- In the '3x+1' problem, these values for the starting value set new records for highest point of trajectory before reaching 1.at n=12A006884
- Coordination sequence T1 for Zeolite Code AFG.at n=47A008012
- Primes that remain prime through 2 iterations of function f(x) = 3x + 8.at n=43A023248
- Primes that remain prime through 3 iterations of function f(x) = 6x + 5.at n=38A023288
- Dying rabbits: a(n) = a(n-1) + a(n-2) - a(n-7).at n=20A023437
- '3x+1' record-setters (blowup factor).at n=8A025587
- Squarefree n such that Q(sqrt(n)) has class number 5.at n=34A029705
- 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=11A031565
- Numbers whose set of base-13 digits is {1,2}.at n=25A032933
- Primes of form x^2+83*y^2.at n=33A033253
- Shifts left under transform T where Ta is (identity) DCONV a.at n=30A038046
- Coordination sequence T11 for Zeolite Code STT.at n=45A038429
- Denominators of continued fraction convergents to sqrt(282).at n=8A041531
- Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes.at n=32A047948
- a(n) = 4*n^2 - 9*n + 6.at n=34A054556
- Birthday set of order 9: i.e., numbers congruent to +- 1 modulo 2, 3, 4, 5, 6, 7, 8 and 9.at n=29A057541
- Primes p such that x^17 = 2 has no solution mod p.at n=36A058999
- Primes p such that p^9 reversed is also prime.at n=23A059702
- Sum of distinct orders of degree-n even permutations.at n=20A060180
- Primes with 11 as smallest positive primitive root.at n=20A061324