Properties of the Number 4772

Four Thousand Seven Hundred Seventy-Two

Basics

Value: 4771 → 4772 → 4773

Parity: even

Prime: No

Previous Prime: 4759

Next Prime: 4783

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 1193

Divisors: 1, 2, 4, 1193, 2386, 4772

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010100100

Octal: 11244

Duodecimal: 2918

Hexadecimal: 12a4

Square: 22771984

Square Root: 69.07966415668217

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 n such that n²⁰⁴⁸ + 1 is prime (a generalized Fermat prime). A88361

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253698

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302309

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 2,-1 1,0 2,1 0,-1 -2,-2 or -1,0. A264490

Number of regions formed inside square by diagonals and the segments joining the vertices to the points dividing the sides into n equal length segments. A108914

a(n) = prime(n)² - prime(n²). Commutator of (primes, squares) at n. A123914

T(n,k) = Number of (n+1) X (k+1) 0..4 arrays with the permanents of all 2X2 subblocks equal and nonzero. A204732

Möbius transform of A341515. A347115

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 10. A60029

Numbers n such that there are precisely 5 groups of orders n and n + 1. A295991