Properties of the Number 6857

Six Thousand Eight Hundred Fifty-Seven

Basics

Value: 6856 → 6857 → 6858

Parity: odd

Prime: Yes

Previous Prime: 6841

Next Prime: 6863

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 6857

Divisors: 1, 6857

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011001001

Octal: 15311

Duodecimal: 3B75

Hexadecimal: 1ac9

Square: 47018449

Square Root: 82.80700453464067

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n)², where a(0) = 1, a(1) = 2, b(0) = 3, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A296245

Primes p such that a pure prime power occurs between p and the next prime. A53607

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 6,2]; short d-string notation of pattern = [662]. A78857

Number of strict integer partitions of n whose first differences (assuming the last part is zero) are not unimodal. A332286

Triangle T(n, k, j) = T(n-1, k, j) + T(n-1, k-1, j) + (2·j + 1)*prime(j)*T(n-2, k-1, j) with T(2, k, j) = prime(j) and j = 8, read by rows. A153653

Number of primes between n·100000 and (n+1)*100000. A38825

Primes of the form 23n+3. A100201

Primes p such that p-1 and p+1 are both divisible by cubes (other than 1). A86708

Largest prime < n³. A77037

Primes p such that p-1 and p+1 each contain at least one cubed prime in their prime factorization. A162870