Properties of the Number 7642

Seven Thousand Six Hundred Forty-Two

Basics

Value: 7641 → 7642 → 7643

Parity: even

Prime: No

Previous Prime: 7639

Next Prime: 7643

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 3821

Divisors: 1, 2, 3821, 7642

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110111011010

Octal: 16732

Duodecimal: 450A

Hexadecimal: 1dda

Square: 58400164

Square Root: 87.41853350405736

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 2 + 4·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367298

T(n,k)=Number of length n+2 0..k arrays with no three consecutive terms having the sum of any two elements equal to twice the third. A248461

Molien series for invariants of finite Coxeter group A₁₂. A266781

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 1 3 6 or 8 and every diagonal and antidiagonal sum 1 3 6 or 8. A252053

T(n,k)=Number of nXk 0..5 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201142

Number of partitions p of n such that the number of parts is not a part and max(p) - min(p) is a part. A241383

Numbers k such that both k and the k-th prime have nonincreasing digits. A116067

G.f.: 1/( (1 - x/(1 - x²/(1 - x³/(1 - x⁴/(1 - ...))))) * (1 + x/(1 + x²/(1 + x³/(1 + x⁴/(1 + ...))))) ), a continued fraction. A285637

a(1)=1, a(n) = 19·a(n-1) + n. A14903

Values of A038007 ending in 2. A38011