Properties of the Number 17621

Seventeen Thousand Six Hundred Twenty-One

Basics

Value: 17620 → 17621 → 17622

Parity: odd

Prime: No

Previous Prime: 17609

Next Prime: 17623

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 67 × 263

Divisors: 1, 67, 263, 17621

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010011010101

Octal: 42325

Duodecimal: A245

Hexadecimal: 44d5

Square: 310499641

Square Root: 132.74411474713295

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(n) = a(n-1) + 5·a(n-2), with a(0) = a(1) = 1. A15440

Composite and every divisor (except 1) contains the digit 6. A62674

Denominators of convergents to π by Farey fractions. A63673

Least positive integer k such that prime(prime(k)), prime(prime(k·n)), prime(p) and prime(q) form a 4-term arithmetic progression for some pair of primes p and q. A261462

The total length of the sequence when starting from n and creating the smallest unused prime number by either removing or adding a single digit anywhere in the value of the previous number. If the sequence does not terminate, a(n) = -1. A389927

Numbers k such that 10*(11·10^k - 1) + 1 is prime. A123372

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (1, 0, -1), (1, 1, 0), (1, 1, 1)}. A150994

T(n,k) = number of ways to place any number of 2 X 1 tiles of k distinguishable colors into an n X 1 grid; array read by descending antidiagonals, with n, k >= 1. A193376

a(n) = (12·n + 8)⁵. A17621