Properties of the Number 4240

Four Thousand Two Hundred Forty

Basics

Value: 4239 → 4240 → 4241

Parity: even

Prime: No

Previous Prime: 4231

Next Prime: 4241

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 5 × 53

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010010000

Octal: 10220

Duodecimal: 2554

Hexadecimal: 1090

Square: 17977600

Square Root: 65.11528238439882

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(0) = a(1) = 1; a(n+2) = 2·a(n+1) + 2·a(n). A26150

a(n) = 2ⁿ + n². A1580

Numbers k such that A102489(k) is divisible by k. A32563

Leyland numbers: 3, together with numbers expressible as n^k + kⁿ nontrivially, i.e., n,k > 1 (to avoid n = (n-1)¹ + 1^n-1). A76980

Second pentagonal numbers with odd index: a(n) = (2·n-1)*(3·n-1). A33568

Numbers that can be written as s^x + t^y, with 1 < s < t and {s,t} = {x,y}; that is, are of the form s^s + t^t or s^t + t^s. A385232

Number of binary [ n,3 ] codes without 0 columns. A34344

G.f. satisfies: A(x + A(x)²) = x + 2·A(x)². A277306

a(n) = A069540(n)/5. A88407

T(n,k)=Number of 0..k arrays of length n with each element differing from at least one neighbor by something other than 1. A221573