Properties of the Number 6963

Six Thousand Nine Hundred Sixty-Three

Basics

Value: 6962 → 6963 → 6964

Parity: odd

Prime: No

Previous Prime: 6961

Next Prime: 6967

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 211

Divisors: 1, 3, 11, 33, 211, 633, 2321, 6963

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101100110011

Octal: 15463

Duodecimal: 4043

Hexadecimal: 1b33

Square: 48483369

Square Root: 83.4445923951936

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 4-ary Lyndon words of length n over Z₄ with trace 1 and subtrace 0. A74406

Number of 4-ary Lyndon words of length n over Z₄ with trace 1 and subtrace 2. A74408

T(n,k)=Number of zero-sum -k..k arrays of n elements with adjacent element differences also in -k..k. A202252

T(n,k)=Number of length n+4 0..k arrays with no five consecutive elements with pattern ababa or abbba (possibly a=b) and new values 0..k introduced in 0..k order. A244185

L.g.f.: ∑_n>=1 (xⁿ/n) / ∏_d∣n (1 - d·x^d)ⁿ. A205491

Numbers that are the sum of eight fourth powers in five or more ways. A345580

Numbers that are the sum of eight fourth powers in six or more ways. A345581

Numbers that are the sum of eight fourth powers in exactly six ways. A345838

Third accumulation array, T, of the natural number array A000027, by antidiagonals. A185508

Numbers n such that the decimal expansions of both n and n² have 3 as the digit with the smallest value and 9 as the digit with the largest value. A238553