Properties of the Number 6738

Six Thousand Seven Hundred Thirty-Eight

Basics

Value: 6737 → 6738 → 6739

Parity: even

Prime: No

Previous Prime: 6737

Next Prime: 6761

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1123

Divisors: 1, 2, 3, 6, 1123, 2246, 3369, 6738

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001010010

Octal: 15122

Duodecimal: 3A96

Hexadecimal: 1a52

Square: 45400644

Square Root: 82.08532146492453

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

Triangle read by rows: T(n,k) is the number of sets of integer-sided rectangular pieces that can tile an n X k rectangle, 1 <= k <= n. A360629

Sum of the fourth largest parts of the partitions of n into 8 squarefree parts. A326449

n times n+8 gives the concatenation of two numbers m and m+3. A116312

a(n) = ∑_d∣n min(d, n/d)⁵. A297795

Number of partitions of n with parts (with repetitions) forming a division lattice (i.e., closed under GCD and LCM). A51839

Triangle of coefficients of polynomials v(n,x) jointly generated with A209701; see the Formula section. A209702

Denominators of continued fraction convergents to sqrt(115). A41209

"666" in bases 7 and higher rewritten in base 10. A121205

Indices k such that A019326(k)=φ[k](8) is prime, where φ is a cyclotomic polynomial. A138938

Number of partitions of n+5 with largest inscribed rectangle having area <= n. A218626