Properties of the Number 9008

Nine Thousand Eight

Basics

Value: 9007 → 9008 → 9009

Parity: even

Prime: No

Previous Prime: 9007

Next Prime: 9011

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 563

Divisors: 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001100110000

Octal: 21460

Duodecimal: 5268

Hexadecimal: 2330

Square: 81144064

Square Root: 94.91048414163738

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 that are the sum of 10 positive 7th powers. A3377

Number of integer compositions of n into parts that are alternately unequal and equal. A357644

Apply partial sum operator thrice to primes. A14150

E.g.f.: 1/∏_k>0 (1-x^2·k-1/(2·k-1)). A294506

Number of integer partitions of n that are not constant but satisfy (mean) = (median) = (mode), assuming there is a unique mode. A363728

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^k⁴. A343284

Numbers k such that k*(k+6) gives the concatenation of two numbers m and m-7. A116242

Smallest j such that j·2*p(n)³-1=q is prime, j·2*p(n)*q²-1=r, j·2*p(n)*r²-1=s, where r and s are also prime. A224611

Record high points in A386487. A386488

Numbers k such that (3^k - 7)/2 is prime. A63679