Properties of the Number 9693

Nine Thousand Six Hundred Ninety-Three

Basics

Value: 9692 → 9693 → 9694

Parity: odd

Prime: No

Previous Prime: 9689

Next Prime: 9697

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 359

Divisors: 1, 3, 9, 27, 359, 1077, 3231, 9693

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010111011101

Octal: 22735

Duodecimal: 5739

Hexadecimal: 25dd

Square: 93954249

Square Root: 98.45303448853164

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

a(n) = ∑_{k=0..floor(n/6)} binomial(n-3k,3k). A100134

Numbers k such that k¹⁸ == 1 (mod 19³). A56089

Matrix square of triangle A107876; equals matrix product of triangles: A107876² = A107862^-1·A107870 = A107867^-1·A107873. A107880

a(n) = ∑_{k=0..floor(n/3)} binomial(2·n-3·k,3·k). A392402

Column 0 of triangle A107880. A107881

Matrix inverse of triangle A122176, where A122176(n,k) = C( k*(k+1)/2 + n-k + 1, n-k) for n>=k>=0. A121436

a(1) = 1; then the smallest number such that both the forward and reverse n-th partial concatenation is a prime for n > 1. (Reverse concatenation is taken term-wise and not digit-wise.) A83992

Triangle of coefficients of polynomials u(n,x) jointly generated with A209169; see the Formula section. A209168

Where records occur in A111390. A114111

Smallest number m such that the n-th prime is the median prime factor of 1..m, cf. A212300. A246430