Properties of the Number 7501

Seven Thousand Five Hundred One

Basics

Value: 7500 → 7501 → 7502

Parity: odd

Prime: No

Previous Prime: 7499

Next Prime: 7507

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 13 × 577

Divisors: 1, 13, 577, 7501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110101001101

Octal: 16515

Duodecimal: 4411

Hexadecimal: 1d4d

Square: 56265001

Square Root: 86.6083136886985

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(1) = 10; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime. A111524

25-gonal numbers: a(n) = n*(23·n-21)/2. A255184

Number of ordered quintuples (a,b,c,d,e) with gcd(a,b,c,d,e)=1 (1<= {a,b,c,d,e} <= n). A82544

Restricted partitions. A2573

Semiprimes in A056107. A113525

a(n) = 25·n*(n + 1)/2 + 1. A262221

Number of binary necklaces with n beads and at least two consecutive black beads. A351359

Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where T(n,k) is the number of ordered k-tuples (x₁, x₂, ..., x_k) with gcd(x₁, x₂, ..., x_k) = 1 (1 <= {x₁, x₂, ..., x_k} <= n). A344527

Vertical of triangular spiral in A051682. A81271

a(n) = n*(n² - 4·n + 5)/2. A162607