Properties of the Number 6749

Six Thousand Seven Hundred Forty-Nine

Basics

Value: 6748 → 6749 → 6750

Parity: odd

Prime: No

Previous Prime: 6737

Next Prime: 6761

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 17 × 397

Divisors: 1, 17, 397, 6749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001011101

Octal: 15135

Duodecimal: 3AA5

Hexadecimal: 1a5d

Square: 45549001

Square Root: 82.15229759416349

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

Composite and every divisor (except 1) contains the digit 7. A62676

Number of partitions of n into sums of products. A66815

Sum of the largest parts of the partitions of n into 9 squarefree parts. A326532

Numbers k such that k¹⁴ == 1 (mod 15³). A56087

Odd interprimes divisible by 17. A124620

Triangle read by rows: semigroups of order n with k idempotents, considered to be equivalent when they are isomorphic or anti-isomorphic (by reversal of the operator). A58123

Column 3 of array in A226513. A226514

Number of vertices formed in a square with edge length 1 by straight line segments when connecting the internal edge points that divide the sides into segments with lengths equal to the Farey series of order n to the equivalent points on the opposite side of the square. A359654

Deficiency of prime-shifted squares: a(n) = 2·A003961(n²) - σ(A003961(n²)), where A003961 is fully multiplicative function with a(prime(i)) = prime(i+1). A378231

Numbers k such that the continued fraction for sqrt(k) has period 9. A10339