Properties of the Number 4749

Four Thousand Seven Hundred Forty-Nine

Basics

Value: 4748 → 4749 → 4750

Parity: odd

Prime: No

Previous Prime: 4733

Next Prime: 4751

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 1583

Divisors: 1, 3, 1583, 4749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001010001101

Octal: 11215

Duodecimal: 28B9

Hexadecimal: 128d

Square: 22553001

Square Root: 68.9129886160802

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

Number of partitions of n into parts 1/2, 3/4, 7/8, 15/16, etc. A2843

Number of partitions of n such that the number of parts is divisible by the greatest part. Also number of partitions of n such that the greatest part is divisible by the number of parts. A168659

Sum of smallest parts (counted with multiplicity) of all partitions of n. A92309

Number of different strings of length n+5 obtained from "123...n" by iteratively duplicating any substring. A137740

T(n,k)=Number of nXk binary arrays with top left value 1 and no two ones adjacent horizontally, vertically, diagonally or antidiagonally. A228506

Numbers n such that n¹²⁸+(n+1)¹²⁸ is a prime. A215431

G.f. A(x) satisfies: A(x) = 1 + x·A(x/(1 - 2·x)) / (1 - 2·x)². A351756

a(n) is the number of distinct values of the determinant of an n X n symmetric Toeplitz matrix using the integers 1 to n. A369830

a(n) = ∑_k=1..n floor(n²/k). A118014

Matrix inverse of triangle A137153(n,k) = C(2^k+n-k-1, n-k), read by rows. A137156