Properties of the Number 46684

Forty-Six Thousand Six Hundred Eighty-Four

Basics

Value: 46683 → 46684 → 46685

Parity: even

Prime: No

Previous Prime: 46681

Next Prime: 46687

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 11 × 1061

Divisors: 1, 2, 4, 11, 22, 44, 1061, 2122, 4244, 11671

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011011001011100

Octal: 133134

Duodecimal: 23024

Hexadecimal: b65c

Square: 2179395856

Square Root: 216.06480509328676

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 3 positive cubes in exactly 3 ways. A25397

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 3 4 5 6 7 8 or 9. A251507

Numbers that are the sum of 3 distinct positive cubes in 3 or more ways. A25402

Numbers that are the sum of 3 distinct positive cubes in exactly 3 ways. A25401

Aliquot sequence starting at 660. A14362

a(1) = 2; for n > 1, a(n) is the least positive number not yet in the sequence such that ∑_k=1..n a(k) divides ∑_k=1..n a(k)². A318358

Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock summing to 3 4 5 6 7 8 or 9. A251500

Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock summing to 3 4 5 6 7 8 or 9. A251502

a(n) = ∑_{k=0..floor(n/3)} (n-3·k)^n-3·k. A353018

Expansion of ∑_k>0 (x * (k + x^k))^k. A360770