Properties of the Number 4272

Four Thousand Two Hundred Seventy-Two

Basics

Value: 4271 → 4272 → 4273

Parity: even

Prime: No

Previous Prime: 4271

Next Prime: 4273

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 89

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1000010110000

Octal: 10260

Duodecimal: 2580

Hexadecimal: 10b0

Square: 18249984

Square Root: 65.36053855347276

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

Triangle read by rows: T(n,m) (n >= m >= 1) = number of regions (or cells) formed by drawing the line segments connecting any two of the 2*(m+n) perimeter points of an m X n grid of squares. A331452

Number of reversed integer partitions of 2n whose half-alternating sum is 0. A357639

Expansion of (1 - 2·x - sqrt(1 - 4·x - 4·x²))/(4·x²). A71356

Numbers that can be expressed as the difference of the squares of primes in just two distinct ways. A90788

Numbers n such that n is both the average of some twin prime pair p, q (q = p+2) (i.e., n = p+1 = q-1) and is also the average of the prime before p and the prime after q. A256753

Number of regions formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A331766

MacMahon's generalized sum of divisors function. A2127

G.f.: (1+x⁸+x⁹+x¹⁰+x¹⁸)/((1-x²)*(1-x³)*(1-x⁴)*(1-x⁵)*(1-x⁶)*(1-x⁷)). A97851

Positive integers n such that n¹⁷ + 1 is semiprime (A001358). A104494

T(n,k)=Number of length n+2 0..k arrays with no three consecutive terms having the sum of any two elements equal to twice the third. A248461