Properties of the Number 6849

Six Thousand Eight Hundred Forty-Nine

Basics

Value: 6848 → 6849 → 6850

Parity: odd

Prime: No

Previous Prime: 6841

Next Prime: 6857

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 761

Divisors: 1, 3, 9, 761, 2283, 6849

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011000001

Octal: 15301

Duodecimal: 3B69

Hexadecimal: 1ac1

Square: 46908801

Square Root: 82.75868534480233

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

Number of integer partitions of n in which no two distinct parts are relatively prime. A328673

Number of integer partitions of n that can be partitioned into distinct pairs of (possibly equal) parts. A338916

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

Least k for the Theodorus spiral to complete n revolutions. A72895

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the minimum plus the maximum equal to the lower median plus the upper median in every 2X2 subblock. A235902

Integers that need 6 iterations of the map x->A352172(x) to reach 1. A352264

Least nonnegative number whose n-th arithmetic derivative (A003415) is zero and lower derivatives are nonzero. A189760

Denominator of H(n)/H(n-1), where H(n) is the n-th harmonic number = ∑_k=1..n 1/k. A193758

Square array A(n,k) read by descending antidiagonals where A(n,k) is the k-th solution·to A328248(x) = n-1. A328250

Numbers k such that (k³ + 2, n³ + 4) is a twin prime pair. A178337