Properties of the Number 6851

Six Thousand Eight Hundred Fifty-One

Basics

Value: 6850 → 6851 → 6852

Parity: odd

Prime: No

Previous Prime: 6841

Next Prime: 6857

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13 × 17 × 31

Divisors: 1, 13, 17, 31, 221, 403, 527, 6851

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1101011000011

Octal: 15303

Duodecimal: 3B6B

Hexadecimal: 1ac3

Square: 46936201

Square Root: 82.77076778670111

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

a(1)=1, a(n)=a(n-1)+n if n even, a(n)=a(n-1)+n² if n is odd. A136047

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

Values of n such that L(10) and N(10) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227448

Partial sums of ceiling(n²/2) (A000982). A131941

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change -1,-1 1,0 -1,-2 -2,-2 or 0,1. A264676

Positions of 5's on the spiral defined in A308890. A308895

Positive integers n such that 2ⁿ == 2¹¹ (mod n). A15935

23-gonal numbers: a(n) = n(21n-19)/2. A51875

T(n,k)=Number of nXk binary arrays with the number of 0-1 adjacencies equal to the number of 0-0 adjacencies. A183262

Sum of the seventh largest parts in the partitions of n into 9 parts. A326467