Properties of the Number 10084

Ten Thousand Eighty-Four

Basics

Value: 10083 → 10084 → 10085

Parity: even

Prime: No

Previous Prime: 10079

Next Prime: 10091

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 2521

Divisors: 1, 2, 4, 2521, 5042, 10084

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011101100100

Octal: 23544

Duodecimal: 5A04

Hexadecimal: 2764

Square: 101687056

Square Root: 100.41912168506553

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) = 4·a(n-1) - a(n-2) with a(0) = 2, a(1) = 4. A3500

Rectangular array A: first differences of row entries of array A294099, read by antidiagonals. A298675

Starts of runs of 3 consecutive factorial base Niven numbers (A118363). A328206

Union_{odd primes p, n >= 3} {T_p(n)}, where T_m(x) = x·T_m-1(x) - T_m-2(x), m >= 2, T₀(x) = 2, T₁(x) = x (dilated Chebyshev polynomials of the first kind). A299071

Number of times the digit 9 appears in the first 10ⁿ digits of Catalan's constant. A224818

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

a(n) = 8·n² + 8·n + 4. A108099

Numbers that are the sum of nine fourth powers in exactly seven ways. A345849

Number of different fixed (possibly) disconnected trominoes bounded tightly by an n X n square. A163433

Number of positive solutions to (x₁)² + (x₂)² + ... + (x₅)² <= n². A341424