Properties of the Number 7536

Seven Thousand Five Hundred Thirty-Six

Basics

Value: 7535 → 7536 → 7537

Parity: even

Prime: No

Previous Prime: 7529

Next Prime: 7537

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 157

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110101110000

Octal: 16560

Duodecimal: 4440

Hexadecimal: 1d70

Square: 56791296

Square Root: 86.81013765684283

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

3 times heptagonal numbers: a(n) = 3·n*(5·n-3)/2. A152773

a(n) = a(n-3) + a(n-5) with initial values 1,0,0,1,0. A52920

T(n,k)=Number of length-n 0..k arrays with no repeated value greater than the previous repeated value. A269435

G.f. A(x,y) satisfies 1/x = ∑_n=-oo..+oo A(x,y)ⁿ * (A(x,y)ⁿ + y)ⁿ⁺¹, as a triangle of coefficients T(n,k) of xⁿ*y^k in A(x,y), read by rows. A379200

Numbers k such that 3 and 5 do not divide binomial(2·k, k). A129508

a(n) = ∑_{k <= n/2} binomial(n-2k, 3k+2). A137358

T(n,k)=Number of nXk 0..k arrays with every repeated value in every row and column greater than or equal to the previous repeated value. A268103

Number of compositions of 5·n-2 into parts 3 and 5. A369847

Expansion of (η(q) / η(q⁷))⁴ in powers of q. A30181

Maximal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements. A45614