Properties of the Number 5584

Five Thousand Five Hundred Eighty-Four

Basics

Value: 5583 → 5584 → 5585

Parity: even

Prime: No

Previous Prime: 5581

Next Prime: 5591

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 349

Divisors: 1, 2, 4, 8, 16, 349, 698, 1396, 2792, 5584

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010111010000

Octal: 12720

Duodecimal: 3294

Hexadecimal: 15d0

Square: 31181056

Square Root: 74.72616676907762

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 partitions of 4n into 4 parts. A238340

Numbers n such that Bernoulli number B_n has denominator 510. A271634

List of different composites in Pascal-like triangles with index of asymmetry y = 3 and index of obliqueness z = 0 or z = 1. A141069

Numbers n such that for some positive number k, z=n+ik is a complex multiperfect number; that is, z divides σ(z), where σ is the sum of divisors function extended to the complex numbers. A102506

Numbers k such that the k-th composition in standard order is empty, a singleton, or has its own run-lengths as a subsequence (not necessarily consecutive) that is already counted. A353431

Real parts of multiperfect Gaussian numbers z, sorted with respect to |z| and Re(z). A100884

Number of partitions of 2·n into at most 4 parts. A14126

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x⁹)). A288344

Consider Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded. A292094

Number of non-normal magic squares whose entries are all 0 or 1 and sum to n. A321723