Properties of the Number 19343

Nineteen Thousand Three Hundred Forty-Three

Basics

Value: 19342 → 19343 → 19344

Parity: odd

Prime: No

Previous Prime: 19333

Next Prime: 19373

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 23 × 29 ²

Divisors: 1, 23, 29, 667, 841, 19343

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101110001111

Octal: 45617

Duodecimal: B23B

Hexadecimal: 4b8f

Square: 374151649

Square Root: 139.07911417606886

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

Square array A(n,k), read by descending antidiagonals, where A(1, k) = A388984(k), and for n > 1, A(n, k) = A003961(A(n-1), k). A388981

Smallest base b > 1 such that both prime(n) and prime(n+1) are base-b Wieferich primes, i.e., p = prime(n) satisfies b^p-1 == 1 (mod p²) and q = prime(n+1) satisfies b^q-1 == 1 (mod q²). A259075

Number of partitions p of n such that floor(mean(p)) and ceiling(mean(p)) are parts of p. A241340

a(n) = 23·n². A244632

Numbers having exactly two distinct prime factors p, q with q = p+6. A143205

Sum over all partitions of [n] of the number of blocks containing their own index when blocks are ordered with decreasing largest elements. A350648

Number of integer partitions of n whose parts do not have weakly decreasing numbers of prime factors (A001222). A358910

Numbers k such that between k and the next prime there are gpf(k) numbers, where gpf(k) denotes the largest prime factor of k. A235425

Numbers p²*q, p > q odd primes such that q does not divide p-1, and q does not divide p+1. A350421

Decimal part of n-th root of a(n) starts with digit 6. A34083