Properties of the Number 10008

Ten Thousand Eight

Basics

Value: 10007 → 10008 → 10009

Parity: even

Prime: No

Previous Prime: 10007

Next Prime: 10009

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 139

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100011000

Octal: 23430

Duodecimal: 5960

Hexadecimal: 2718

Square: 100160064

Square Root: 100.0399920031984

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 (w,x,y,z) with all terms in {1,...,n} and w·x < 2·y*z. A211795

Numbers in which 0 outnumbers all other digits together. A292730

Number of integer partitions of n whose multiplicities have integer median. A360687

Number of times the digit 7 appears in the first 10ⁿ decimal digits of sqrt(2), sometimes called Pythagoras's constant, counting after the decimal point. A322648

A convolution triangle of numbers based on A001906 (even-indexed Fibonacci numbers). A125662

Number of ways to place 2 non-attacking wazirs on an n X n toroidal board. A201236

Triangle of coefficients of Chebyshev's S(n,x-3) polynomials (exponents of·in increasing order). A207815

Numbers k that divide 2^k + 8. A245319

Triangle read by rows: T(0,0)=1; T(n,k) is the coefficient of x^k in the polynomial (-1)ⁿ*p(n,x), where p(n,x) is the characteristic polynomial of the n X n tridiagonal matrix with 3's on the main diagonal and -1's on the super- and subdiagonal (n >= 1; 0 <= k <= n). A123965

Expansion of (b(q²) / b(q))³ in powers of q where b() is a cubic AGM function. A128643