Properties of the Number 7565

Seven Thousand Five Hundred Sixty-Five

Basics

Value: 7564 → 7565 → 7566

Parity: odd

Prime: No

Previous Prime: 7561

Next Prime: 7573

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 17 × 89

Divisors: 1, 5, 17, 85, 89, 445, 1513, 7565

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110110001101

Octal: 16615

Duodecimal: 4465

Hexadecimal: 1d8d

Square: 57229225

Square Root: 86.97700845625813

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) = 8·n² - 4·n + 1. A80856

Numbers m that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., m² can be written as a sum of two squares in 13 ways. A97102

a(n) = (2·n+5)*(2·n+1). A78371

Number of Motzkin paths of length n with no level steps at even level. A90345

Numerator of ∑_k=1..n (-1)^k+1/k⁵. A136676

Number of integer partitions of n whose differences of all degrees > 1 are nonzero. A325874

-3-Knödel numbers. A225507

Numbers m such that [A070080(m), A070081(m), A070082(m)] is an acute scalene integer triangle with prime side lengths. A70123

Discriminant a(n) of the indefinite binary quadratic Markoff form m(n)*F_m(n)(x, y) with m(n) = A002559(n), for n >= 1. A305312

Triangle T(n,k) read by rows: number of k X k symmetric matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n. A138177