6833
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6834
- 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
- 6832
- Möbius Function
- -1
- Radical
- 6833
- 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
- 57
- 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
- 880
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)) for n > 1, a(1) = 2.at n=10A005469
- Number of cyclically-5-connected planar trivalent graphs with 2n nodes.at n=12A006791
- Oscillates under partition transform.at n=43A007211
- Numbers k such that the continued fraction for sqrt(k) has period 47.at n=14A020386
- Numbers having period-1 7-digitized sequences.at n=40A031201
- Primes of form x^2 + 94*y^2.at n=43A033204
- Positive numbers having the same set of digits in base 4 and base 9.at n=35A037427
- Third term of weak prime quintets: p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1).at n=18A054825
- Primes p such that x^61 = 2 has no solution mod p.at n=14A059230
- Smallest number whose square has sum of digits A056991(n).at n=25A067179
- Square roots of A068809.at n=18A068947
- Primes in A068947.at n=10A068948
- a(n) = 2^n + 4^n + 9^n.at n=4A074536
- Prime numbers using only the curved digits 0, 3, 6, 8 and 9.at n=23A079652
- Primes in A058633.at n=29A080822
- Primes which are the sum of three positive 4th powers.at n=13A085318
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=21A088483
- Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product +1 is prime. Sequence contains the primes arising as the sum of the terms of groups.at n=23A092946
- Primes from merging of 4 successive digits in decimal expansion of (Pi^2).at n=36A104927
- Primes from merging of 4 successive digits in decimal expansion of Zeta(2) or (Pi^2)/6.at n=27A105377