Properties of the Number 4748

Four Thousand Seven Hundred Forty-Eight

Basics

Value: 4747 → 4748 → 4749

Parity: even

Prime: No

Previous Prime: 4733

Next Prime: 4751

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 1187

Divisors: 1, 2, 4, 1187, 2374, 4748

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001010001100

Octal: 11214

Duodecimal: 28B8

Hexadecimal: 128c

Square: 22543504

Square Root: 68.90573270780887

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 palindromic partitions of n with greatest part of multiplicity 2. A238779

Sum of gcd(x, y) for 1 <= x, y <= n. A18806

T(n,k)=Number of binary arrays of length n+2·k-1 with fewer than k ones in any length 2k subsequence (=less than 50% duty cycle). A213118

Number of decagons that can be formed with perimeter n. A288256

Number T(n,k) of standard Young tableaux with n cells where k is the length of the maximal consecutive sequence 1,2,...,k in the first column; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A238802

Permutation of natural numbers: a(n) = A048673(A244319(n)). A245610

G.f.: ∑_n>=0 2ⁿ * ((1+x)ⁿ - 1)ⁿ. A301581

a(n) = a(n-1) + n·a(n-2), where a(1) = 1, a(2) = 2. A1475

Floor(ζ(3)ⁿ). A125890

Sum of all parts of the n-th subshell of the head of the last section of the set of partitions of any even integer >= 2n. A182994