Properties of the Number 3848

Three Thousand Eight Hundred Forty-Eight

Basics

Value: 3847 → 3848 → 3849

Parity: even

Prime: No

Previous Prime: 3847

Next Prime: 3851

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 13 × 37

Divisors: 1, 2, 4, 8, 13, 26, 37, 52, 74, 104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100001000

Octal: 7410

Duodecimal: 2288

Hexadecimal: f08

Square: 14807104

Square Root: 62.03224967708329

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

a(n) = floor(π*n²). A66643

T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some lexicographically greater or equal nondecreasing -k..k vector equals n. A226422

Triangle T, read by rows, where row n+1 of T = row n of T^2n-1 with appended '1' for n>=0 with T(0,0)=1. A132615

T(n,k)=Number of length n+4 0..k arrays with no five consecutive elements with pattern ababa or abbba (with a≠b) and new values 0..k introduced in 0..k order. A244702

-4-Knödel numbers. A225508

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A234921

Even numbers 2k such that the smallest prime p satisfying p+q=2k (q prime) is greater than or equal to sqrt(2k). A244408

T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 or 4. A252293

Numbers n such that n is a substring of its square in base 3 (written in base 10). A18827

Numbers which are representable as a sum of thirteen but no fewer consecutive nonnegative integers. A270300