8193
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10928
- Proper Divisor Sum (Aliquot Sum)
- 2735
- 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
- 5460
- Möbius Function
- 1
- Radical
- 8193
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = 2^n + 1.at n=13A000051
- Numbers that are the sum of 3 nonzero 6th powers.at n=16A003359
- Divisors of 2^26 - 1.at n=4A003534
- Numbers that are the sum of 9 positive 10th powers.at n=8A004809
- Numbers that are the sum of 5 positive 11th powers.at n=4A004816
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=31A004854
- Numbers that are the sum of at most 5 positive 11th powers.at n=19A004911
- Numbers that are the sum of at most 6 positive 11th powers.at n=23A004912
- Numbers that are the sum of at most 7 positive 11th powers.at n=27A004913
- Numbers that are the sum of at most 8 positive 11th powers.at n=31A004914
- Numbers that are the sum of at most 11 positive 11th powers.at n=43A004917
- Inverse of the Doudna sequence A005940.at n=42A005941
- a(n) = sigma_13(n), the sum of the 13th powers of the divisors of n.at n=1A013961
- n is equal to the number of 1's in all numbers <= n written in base 8.at n=10A014885
- Numerator of sum of -13th powers of divisors of n.at n=1A017689
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=20A020413
- Pisot sequence L(5,9).at n=11A020737
- Least m such that if r and s in {1/4, 1/8, 1/12, ..., 1/4n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k.at n=34A024839
- a(n+1) = [ A*a(n)+B ]/p^r, where p^r is the highest power of p diving [ A*a(n)+B ] and p=2, A=2.00013, B=3.0.at n=13A029580
- 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 60.at n=26A031558