Properties of the Number 6993

Six Thousand Nine Hundred Ninety-Three

Basics

Value: 6992 → 6993 → 6994

Parity: odd

Prime: No

Previous Prime: 6991

Next Prime: 6997

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 37

Divisors: 1, 3, 7, 9, 21, 27, 37, 63, 111, 189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101010001

Octal: 15521

Duodecimal: 4069

Hexadecimal: 1b51

Square: 48902049

Square Root: 83.62415918859813

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

Numbers n such that every digit occurs at least once in n³. A119735

a(n) = 10·binomial(n,2) + 9·n. A135705

From solution to a difference equation. A5923

Divisors of 999999. A27892

3 times 13-gonal (or tridecagonal) numbers: a(n) = 3·n*(11·n - 9)/2. A153875

Apply partial sum operator twice to factorials. A14144

a(n) = 7*(10ⁿ - 1). A86578

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240792

Triangle read by rows: coefficients in expansion of Asveld's polynomials p_j(x). A341725

Numbers m such that the largest digit in the decimal expansion of 1/m is 4. A351470