Properties of the Number 4972

Four Thousand Nine Hundred Seventy-Two

Basics

Value: 4971 → 4972 → 4973

Parity: even

Prime: No

Previous Prime: 4969

Next Prime: 4973

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 11 × 113

Divisors: 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001101101100

Octal: 11554

Duodecimal: 2A64

Hexadecimal: 136c

Square: 24720784

Square Root: 70.51241025521678

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

Consider n equally spaced points along a line and join every pair of points by a semicircle above the line; a(n) is the number of intersection points. A290447

Numbers k such that 3^k - 28 is prime. A219047

Multiples of 11 whose digit sum is a multiple of 11. A216995

Array read by antidiagonals: T(n,k) (n>=1, k>=1) = number of ways to select four points from an n X k grid so that three of them form a triangle of nonzero area and the extra point is on one of the edges of the triangle. A334710

Number of partitions in parts not of the form 15k, 15k+1 or 15k-1. Also number of partitions with no part of size 1 and differences between parts at distance 6 are greater than 1. A35955

Magic sums of 3 X 3 semimagic squares composed of positive triangular numbers. A269060

a(n) = n-1 for n <= 4, otherwise if n is even then a(n) = a(n-5)+2^n/2, and if n is odd then a(n) = a(n-1)+2^(n-3/2). A200310

Number of (w,x,y,z) with all terms in {1,...,n} and |x-y| = w + |y-z|. A212683

Magic sums of 4 X 4 magic squares composed of triangular numbers. A271579

Bases b for which there exists an integer y such that y² in base b consists of three identical digits. A290172