4597
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4598
- 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
- 4596
- Möbius Function
- -1
- Radical
- 4597
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 622
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=41A001133
- Balanced primes (of order one): primes which are the average of the previous prime and the following prime.at n=36A006562
- Coordination sequence T4 for Zeolite Code LTN.at n=47A008143
- Coordination sequence T2 for Zeolite Code VET.at n=41A009903
- Number of triples of different integers from [ 2,n ] with no global factor.at n=32A015618
- Numbers k such that the continued fraction for sqrt(k) has period 11.at n=39A020350
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=38A023255
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=17A023282
- Discriminants of quintic fields with 4 complex conjugates.at n=22A023685
- Coordination sequence T7 for Zeolite Code MWW.at n=46A024992
- a(n) = T(2n-1,n-1) = T(2n,n+1), T given by A026725.at n=6A026674
- a(n) = T(n, floor(n/2)), T given by A026670.at n=13A026676
- Greatest number in row n of array T given by A026725.at n=13A026731
- Number of nonisomorphic connected partial lattices.at n=8A030268
- a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1.at n=29A033499
- a(1) = 3; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=32A033681
- Multiplicity of highest weight (or singular) vectors associated with character chi_11 of Monster module.at n=40A034399
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=20A045131
- a(n)=T(n,n+2), array T as in A049735.at n=26A049742
- a(n) is the first prime p from A031924 such that A052180(primepi(p)) = prime(n).at n=11A052229