Properties of the Number 7251

Seven Thousand Two Hundred Fifty-One

Basics

Value: 7250 → 7251 → 7252

Parity: odd

Prime: No

Previous Prime: 7247

Next Prime: 7253

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 2417

Divisors: 1, 3, 2417, 7251

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001010011

Octal: 16123

Duodecimal: 4243

Hexadecimal: 1c53

Square: 52577001

Square Root: 85.15280382935138

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

First differences of A006128. A138137

Number of distinct integer partitions whose parts can be combined together using additions and multiplications to obtain n, with the exception that 1's can only be added and not multiplied with other parts. A319913

a(n) = 3·a(n-2) - a(n-3), with a(0)=3, a(1)=0, and a(2)=6. A215664

Number of integer partitions of n such that every pair of distinct parts has a different quotient. A325853

a(n) = 6·a(n-1) - 9·a(n-2) + a(n-3), with a(0)=3, a(1)=6 and a(2)=18. A215455

Smith numbers of order 2. A174460

Triangle in which row n consists of the coefficients in ∑_m=0..n x^m * ∏_k=m+1..n (1-k·x), as read by rows. A248925

Numbers that are the sum of seven fourth powers in four or more ways. A345570

Numbers that are the sum of seven fourth powers in exactly four ways. A345826

Consider the Diophantine equation x³ + y³ = z³ - 1 (x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z. Sequence gives values of x. A50788