Properties of the Number 7540

Seven Thousand Five Hundred Forty

Basics

Value: 7539 → 7540 → 7541

Parity: even

Prime: No

Previous Prime: 7537

Next Prime: 7541

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 × 13 × 29

Divisors: 1, 2, 4, 5, 10, 13, 20, 26, 29, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110101110100

Octal: 16564

Duodecimal: 4444

Hexadecimal: 1d74

Square: 56851600

Square Root: 86.83317338436964

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

From the diagonal of 1/(1 - (y + z + x w + x z w + x y w)). A268545

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) = a(n-2) + a(n-3) + a(n-4) - a(n-6), with a(0) = a(2) = a(3) = 1, a(1) = 0 and a(4) = a(5) = 2. A143438

a(n) = ∑_m=1..n ∑_k=1..m prime(k). A14148

Numbers n such that m + (sum of digits in base-3 representation of m) = n has exactly four solutions. A230856

Numbers k that divide 4^k + 4. A15889

Numbers n whose square can be represented as a repdigit number in some base less than n. A158235

Truncated square pyramid numbers: a(n) = ∑_{k = n..2·n-1} k². A50410

Total sum of even parts in all partitions of n. A66966

T(n,k)=Number of nXk 0..3 arrays with new values 0..3 introduced in row major order and no element equal to any horizontal, vertical or antidiagonal neighbor (colorings ignoring permutations of colors). A208050