Properties of the Number 7742

Seven Thousand Seven Hundred Forty-Two

Basics

Value: 7741 → 7742 → 7743

Parity: even

Prime: No

Previous Prime: 7741

Next Prime: 7753

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 7 ² × 79

Divisors: 1, 2, 7, 14, 49, 79, 98, 158, 553, 1106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111000111110

Octal: 17076

Duodecimal: 4592

Hexadecimal: 1e3e

Square: 59938564

Square Root: 87.98863562983574

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 multisets summing to n that are the first sums of some nonempty multiset. A390446

Number of right triangles of a given area required to form successively larger squares. A60626

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. A283634

T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. A234114

Partial sums of A002522, starting at n=1. A145066

Numbers k such that w(k), w(k+1), and w(k+2) are all odd, where w is A336957. A337644

Irregular triangle read by rows: T(n,k) is the number of regions between the free polyominoes, with n cells and width k, and their bounding boxes, n >= 1, 1 <= k <= ceiling(n/2). A380283

Smallest number m such that m and the product of digits of m are both divisible by 2n, or 0 if no such number exists. A73909

Smallest number m such that m and the product of digits of m are both divisible by 7n, or 0 if no such number exists. A73908

Number of simple unlabeled graphs on n nodes with exactly 1 connected component that is a tree or a cycle. A215981