Properties of the Number 10653

Ten Thousand Six Hundred Fifty-Three

Basics

Value: 10652 → 10653 → 10654

Parity: odd

Prime: No

Previous Prime: 10651

Next Prime: 10657

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 53 × 67

Divisors: 1, 3, 53, 67, 159, 201, 3551, 10653

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110011101

Octal: 24635

Duodecimal: 61B9

Hexadecimal: 299d

Square: 113486409

Square Root: 103.21337122679407

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

Numbers k such that prime(k) + prime(k+1) is a square. A64397

T(n,k)=Number of ways to reciprocally link elements of an nXk array either to themselves or to exactly two horizontal, diagonal and antidiagonal neighbors, without consecutive collinear links. A220738

Partial sums of A001891. A53808

Numbers k such that k¹⁶ == 1 (mod 17³). A56088

Number of ways to write n as an ordered sum of 6 prime powers (including 1). A341135

a(n) = n³ + 5. A84381

Sum of the largest parts in the partitions of n into 6 parts. A308873

Integers k such that there exists an integer 0<m<k such that σ(m)² + σ(k)² = (m+k)². A383484

Number of compositions (ordered partitions) of n into distinct parts >= 7. A339108

a(n) = A000045(n+6) - (n² + 4·n + 8). A163250