Properties of the Number 3743

Three Thousand Seven Hundred Forty-Three

Basics

Value: 3742 → 3743 → 3744

Parity: odd

Prime: No

Previous Prime: 3739

Next Prime: 3761

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 19 × 197

Divisors: 1, 19, 197, 3743

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111010011111

Octal: 7237

Duodecimal: 21BB

Hexadecimal: e9f

Square: 14010049

Square Root: 61.180062111769715

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 increasing arithmetic progressions in {1,2,3,...,n}, including trivial arithmetic progressions of lengths 1 and 2. A51336

Number of polyaboloes (or polytans): number of different shapes that can be formed with n congruent isosceles right triangles, identifying mirror images. A6074

a(n) = n + (n-1)² + (n+1)². A96376

Irregular triangle read by rows: T(n,k) is the number of free polyominoes with n cells and width k, n >= 1, 1 <= k <= ceiling(n/2). A379623

Irregular array read by rows in which row n lists the smallest elements, in ascending order, of conjecturally all primitive cycles of positive integers under iteration by the Collatz-like 3x-k function, where k = A226630(n). A226623

Concatenations of pairs of primes that differ by 6. A103206

Number of rectangular plane partitions of n with strictly decreasing rows and columns. A323430

Numbers whose smallest prime factor is 19. A332798

Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part or the number of numbers having multiplicity > 1 is a part. A239737

Triangle read by rows: T(n,k) is the number of connected directed multigraphs with loops and no vertex of degree 0, with n arcs and k vertices. A139621