Properties of the Number 3084

Three Thousand Eighty-Four

Basics

Value: 3083 → 3084 → 3085

Parity: even

Prime: No

Previous Prime: 3083

Next Prime: 3089

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 257

Divisors: 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110000001100

Octal: 6014

Duodecimal: 1950

Hexadecimal: c0c

Square: 9511056

Square Root: 55.53377350765928

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) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1. A3520

Double-bitters: only even length runs in binary expansion. A1196

Number of partitions of integer partitions of n where all parts have the same length. A319066

Partial sums of A000337(n+4), n >= 0. A45618

Numbers that are the sum of 9 positive 7th powers. A3376

a(1) = a(2) = a(3) = a(4) = a(5) = 1 and for n>5: a(n) = a(n-4) + a(n-5). A103372

Binary representation of base-(i-1) expansion of n: replace i-1 with 2 in base-(i-1) expansion of n. A66321

T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 1 2 4 6 or 7. A252558

Number of compositions of n with strictly decreasing differences. A325548

Triangle of partial row sums (prs) of triangle A055248 (prs of Pascal's triangle A007318). A55249