4643
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
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4644
- 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
- 4642
- Möbius Function
- -1
- Radical
- 4643
- 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
- 33
- 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
- 627
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor(1000*log_2(n)).at n=24A004265
- Coordination sequence T5 for Zeolite Code TER.at n=46A016437
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=44A023244
- 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=14A031565
- Number of connected functions of n points with no fixed points and with no symmetries.at n=12A032177
- Primes of form x^2+83*y^2.at n=34A033253
- Numbers whose sum of reciprocals of digits is the reciprocal of an integer.at n=47A037264
- Sum of reciprocals of digits = 1.at n=29A037268
- Coordination sequence T10 for Zeolite Code STT.at n=45A038422
- Discriminants of imaginary quadratic fields with class number 13 (negated).at n=19A046010
- Primes p such that p+6 and p+8 are also primes.at n=35A046138
- Coordination sequence T5 for Zeolite Code DON.at n=46A047957
- Primes whose consecutive digits differ by 1 or 2.at n=44A048413
- p, p+6 and p+8 are all primes (A046138) but p+2 is not.at n=25A049438
- Denominators of successive convergents to continued fraction 1+2/(3+3/(4+4/(5+5/(6+6/(7+7/(8+8/(9+9/10+...))))))).at n=6A053519
- Restricted left truncatable (Henry VIII) primes.at n=3A055521
- a(n+1) = smallest prime p in the range a(n) < p < a(1)*a(2)*...*a(n) such that p-1 divides a(1)*a(2)*...*a(n); or if no such prime p exists, then a(n+1) = smallest prime > a(n).at n=42A057459
- P(p(n)), P = primes (A000040), p = partition numbers (A000041).at n=20A058697
- Harmonic mean of digits is 4.at n=31A062182
- Primes p such that p^6 + p^3 + 1 is prime.at n=25A066100