Properties of the Number 6855

Six Thousand Eight Hundred Fifty-Five

Basics

Value: 6854 → 6855 → 6856

Parity: odd

Prime: No

Previous Prime: 6841

Next Prime: 6857

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 457

Divisors: 1, 3, 5, 15, 457, 1371, 2285, 6855

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1101011000111

Octal: 15307

Duodecimal: 3B73

Hexadecimal: 1ac7

Square: 46991025

Square Root: 82.79492738084863

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

T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 1 2 4 6 or 7. A252558

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array. A220204

Sums of five consecutive squares: a(n) = n² + (n+1)² + (n+2)² + (n+3)² + (n+4)². A27578

Triangles in open triangular matchstick arrangement (triangle minus one side) of side n. A45947

a(n), a(n+1), a(n+2), for n=2,5,8,11,... are respectively the numbers of representations of the integers 2^k-2, 2^k, 2^k+2, where k=(n+4)/3, by unordered sums of two numbers of A156284. A156537

Triangle read by rows: T(n,0) = 0 for n >= 0; T(n,2·k+1) = A152842(2·n,2*(n-k)) and T(n,2·k) = A152842(2·n,2*(n-k)+1) for n >= k > 0. A299989

Expansion of e.g.f.: exp(exp(x) - 4·x - 1). A346739

Sets of 4 consecutive numbers with equal number of divisors. A39665

Numbers that are the sum of ten fourth powers in seven or more ways. A345600

Numbers that are the sum of ten fourth powers in exactly seven ways. A345859