Properties of the Number 2084

Two Thousand Eighty-Four

Basics

Value: 2083 → 2084 → 2085

Parity: even

Prime: No

Previous Prime: 2083

Next Prime: 2087

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 521

Divisors: 1, 2, 4, 521, 1042, 2084

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100000100100

Octal: 4044

Duodecimal: 1258

Hexadecimal: 824

Square: 4343056

Square Root: 45.65084884205331

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 k such that the k-th composition in standard order (row k of A066099) has all equal run-sums. A353848

Numbers n such that (5+n!)/5 is prime. A139058

Expansion of 1/(1 + x - x³ - x⁴ - x⁸ - x¹² - x¹³ - x¹⁷ - x²¹ - x²² - x²⁶ - x³⁰ - x³¹ + x³³ + x³⁴). A173908

BII-numbers of clutters (connected antichains of nonempty sets). A326750

a(n) = floor(n*φ¹³), where φ is the golden ratio, A001622. A4928

Dispersion of A047211, (numbers >1 and congruent to 2 or 4 mod 5), by antidiagonals. A191730

Positive integers n such that n⁶ + 1 is semiprime. A103854

Numbers that are the sum of 10 consecutive primes. A127337

Numbers k such that k²+1 and (k+2)²+1 are both prime; twin k²+1 primes. A96012

BII-numbers of hypertrees. A326752