Properties of the Number 4472

Four Thousand Four Hundred Seventy-Two

Basics

Value: 4471 → 4472 → 4473

Parity: even

Prime: No

Previous Prime: 4463

Next Prime: 4481

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 13 × 43

Divisors: 1, 2, 4, 8, 13, 26, 43, 52, 86, 104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101111000

Octal: 10570

Duodecimal: 2708

Hexadecimal: 1178

Square: 19998784

Square Root: 66.87301398920195

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 for which 8·R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A96508

G.f.: A(x) = exp( ∑_n>=1 A000172(n)*xⁿ/n ) where Franel number A000172(n) = ∑_k=0..n C(n,k)³. A166990

Expansion of ∏_{i in A069908} 1/(1 - xⁱ). A69910

Numbers k such that k² is a sum of consecutive cubes larger than 1. A126200

Numbers n such that n² can be represented as sum of (at least two) consecutive cubes and n is not a triangular number. A163393

Index of smallest triangular number with n digits. A68092

Triangles in open triangular matchstick arrangement (triangle minus one side) of side n. A45947

Numbers which are the sum of two positive cubes and divisible by 13. A94447

a(n) = 13·a(n-1) - 65·a(n-2) + 156·a(n-3) - 182·a(n-4) + 91·a(n-5) - 13·a(n-6), with initial terms 0, 0, -1, -8, -45, -221. A216540

G.f. satisfies: A(x) = (1 - x·A(x))² * (2·A(x) - 1). A231556