Properties of the Number 6700

Six Thousand Seven Hundred

Basics

Value: 6699 → 6700 → 6701

Parity: even

Prime: No

Previous Prime: 6691

Next Prime: 6701

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 ² × 67

Divisors: 1, 2, 4, 5, 10, 20, 25, 50, 67, 100

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1101000101100

Octal: 15054

Duodecimal: 3A64

Hexadecimal: 1a2c

Square: 44890000

Square Root: 81.8535277187245

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

Expansion of (∏_j>=1 (1-(-x)^j) - 1)¹⁰ in powers of x. A1488

Pentagonal numbers with odd index: a(n) = (2·n+1)*(3·n+1). A33570

a(n) = ∑_i=0..n ∑_j=0..n T(i,j), T given by A026780. A26789

a(n) = A052217(n)/3. A88405

Expansion of ∏_n>=1 (1 - x^5·n)/(1 - xⁿ)⁵ in powers of x. A277212

Consider a 2-D cellular automaton generated by the Schrandt-Ulam rule of A170896, but confined to a semi-infinite strip of width n, starting with one ON cell at the top left corner; a(n) is the period of the resulting structure. A6447

Even pentagonal numbers. A14633

Pentagonal numbers with prime indices. A116995

a(n) = ∑_i=1..n (A077068(i) - A077065(i)). A232221

Expansion of 1/(1-x-x²-x⁶). A120400