Properties of the Number 5253

Five Thousand Two Hundred Fifty-Three

Basics

Value: 5252 → 5253 → 5254

Parity: odd

Prime: No

Previous Prime: 5237

Next Prime: 5261

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 103

Divisors: 1, 3, 17, 51, 103, 309, 1751, 5253

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010000101

Octal: 12205

Duodecimal: 3059

Hexadecimal: 1485

Square: 27594009

Square Root: 72.47758274114831

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

Number of Look-and-Say partitions of n; see Comments. A239455

a(n) = p*(p-1)/2 for p = prime(n). A8837

Staggered diagonal of triangular spiral in A051682. A81266

a(n)=A089551(n)/2. A89558

a(n) = (2·n-1)*(4·n-1). A33567

Binomial coefficients formed from consecutive primes: a(n) = binomial( prime(n+1), prime(n) ). A58077

Positive numbers whose product of digits is 10 times their sum. A62043

Positive integers not expressible as the sum of a prime and a triangular number. A76768

The number phi₂(n) of Frobenius partitions that allow up to 2 repetitions of an integer in a row. A53993

Numbers k such that 4·k-1, 8·k-1 and 16·k-1 are all primes. A101790