6803
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6804
- 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
- 6802
- Möbius Function
- -1
- Radical
- 6803
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 88
- 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
- 876
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 4.at n=42A023253
- n written in fractional base 10/6.at n=53A024661
- a(n) is the least odd prime p such that the maximum run length of consecutive quadratic residues modulo p is n.at n=16A025046
- [ Sum{(sqrt(j+1)-sqrt(i+1))^3} ], 1 <= i < j <= n.at n=35A025223
- Primes with property that when squared all even digits occur together and all odd digits occur together.at n=39A030480
- [ exp(3/10)*n! ].at n=6A030950
- 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=18A031579
- Lower prime of a difference of 20 between consecutive primes.at n=8A031938
- Discriminants of imaginary quadratic fields with class number 19 (negated).at n=20A046016
- Starting positions of strings of 3 1's in the decimal expansion of Pi.at n=6A050209
- Primes p such that x^19 = 2 has no solution mod p.at n=37A059244
- n*10^2-1, n*10^2-3, n*10^2-7 and n*10^2-9 are all prime.at n=13A064976
- Prime numbers using only the curved digits 0, 3, 6, 8 and 9.at n=22A079652
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={3,4}.at n=15A079958
- Magnanimous primes: primes with the property that inserting a "+" in any place between two digits yields a sum which is prime.at n=42A089392
- Numbers m such that placing as many possible '+' signs anywhere in between the digits yields a prime in every case. Let abcd... be the digits of m; then abcd, a + bcd, ab + cd, abc + d, a + b + cd, a + bc + d, ab + c + d, a + b + c + d, ... are all prime.at n=36A089695
- Primes whose base-17 expansion is a (valid) decimal expansion of a prime.at n=39A090713
- a(n) = 16*n^4 + 32*n^3 + 36*n^2 + 20*n + 3.at n=4A094200
- Balanced primes of order twelve.at n=6A096704
- Primes of the form [prime(n)*prime(n+1)+p]/2 with increasing p.at n=27A100558