6823
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6824
- 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
- 6822
- Möbius Function
- -1
- Radical
- 6823
- 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
- 119
- 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
- 877
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 11 positive 7th powers.at n=35A003378
- Numbers that are the sum of 8 nonzero 8th powers.at n=10A003386
- 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 81.at n=20A031579
- Upper prime of a difference of 20 between consecutive primes.at n=8A031939
- Number of connected functions on n points with a loop of length 9.at n=7A032205
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3,2.at n=4A037686
- Primes with indices that are primes with prime indices.at n=35A038580
- Integers n such that A047988(n)=3.at n=29A047986
- Primes prime(k) for which A049076(k) = 3.at n=24A049079
- Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223.at n=14A052166
- Primes followed by a [4,2,4] prime difference pattern of A001223.at n=22A052378
- Prime sum of n-th group of successive primes in A073684.at n=39A073682
- First prime after phi(prime(n)^2).at n=22A079477
- Primes which are also prime if their base 31 representation is interpreted as a base 10 number.at n=32A090715
- Numbers k such that (k-1)! + k is prime.at n=7A092791
- Primes such that the sum of the predecessor and successor primes is divisible by 29.at n=25A112859
- Table read by rows: rows give successive prime sextets of form k, k+30, k+60, k+90, k+120, k+150.at n=35A123085
- Primes p such that 36*p-1 and 36*p+1 are twin primes.at n=42A138655
- Primes not in A138980.at n=65A138982
- Numbers of the form of 4x^2 - 4xy + 7y^2 (=24k+7) but not of the form 4x^2 + 4xy + 7y^2.at n=27A139640