Properties of the Number 7657

Seven Thousand Six Hundred Fifty-Seven

Basics

Value: 7656 → 7657 → 7658

Parity: odd

Prime: No

Previous Prime: 7649

Next Prime: 7669

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 13 × 19 × 31

Divisors: 1, 13, 19, 31, 247, 403, 589, 7657

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110111101001

Octal: 16751

Duodecimal: 4521

Hexadecimal: 1de9

Square: 58629649

Square Root: 87.50428560933459

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) = 4·n² - 10·n + 7. A54554

Number of integer compositions of n whose leaders of strictly decreasing runs are distinct. A374761

Number of partitions of n in which the greatest part is 9. A26815

Sum of first k numbers in column k of the natural number array A000027; by antidiagonals. A185787

Numbers m such that m and m+1 are consecutive lazy-Fibonacci-Niven numbers (A328212). A328213

Numbers k such that k and k + 1 are both Niven numbers in base 3/2 (A342426). A342427

Number of ways to write n² as the sum of n odd numbers, disregarding order. A107379

a(n) = 9·n² + 3·n + 1. A82040

a(n) = n*(8·n-1). A139274

Total number of vertices in graph formed by the straight line segments connecting the edges of an equilateral triangle with the n-1 points resulting from a subdivision of the sides into n equal pieces, counting coinciding intersection points only once. A331782