4391
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4392
- 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
- 4390
- Möbius Function
- -1
- Radical
- 4391
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 598
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Artiads: the primes p == 1 (mod 5) for which Fibonacci((p-1)/5) is divisible by p.at n=21A001583
- Coordination sequence T4 for Zeolite Code DOH.at n=41A008081
- Coordination sequence T1 for Zeolite Code JBW.at n=44A008121
- "Pascal sweep" for k=9: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=48A009540
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=15A020399
- Expansion of Product_{m>=1} (1 + m*q^m)^3.at n=9A022631
- Primes that remain prime through 2 iterations of function f(x) = 8x + 1.at n=15A023260
- 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=13A031563
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=23A031800
- Upper prime of a difference of 18 between consecutive primes.at n=12A031937
- Numbers whose set of base-11 digits is {2,3}.at n=28A032811
- Primes of form x^2+59*y^2.at n=26A033238
- Primes of form x^2+83*y^2.at n=32A033253
- Coordination sequence T1 for Zeolite Code AFN.at n=47A038403
- Numbers whose base-4 representation has exactly 7 runs.at n=14A043598
- Numbers k such that number of runs in the base 4 representation of k is congruent to 1 mod 6.at n=32A043838
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 7.at n=14A043843
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 8.at n=14A043857
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 9.at n=14A043865
- Numbers k such that the number of runs in the base-4 representation of k is congruent to 7 (mod 10).at n=14A043874