Properties of the Number 19306

Nineteen Thousand Three Hundred Six

Basics

Value: 19305 → 19306 → 19307

Parity: even

Prime: No

Previous Prime: 19301

Next Prime: 19309

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 ² × 197

Divisors: 1, 2, 7, 14, 49, 98, 197, 394, 1379, 2758

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101101101010

Octal: 45552

Duodecimal: B20A

Hexadecimal: 4b6a

Square: 372721636

Square Root: 138.94603268895446

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) = n²*(n² + 1)/2. A37270

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

Primitive numbers in A229307. A229311

a(n) = ∑_{k=0..floor(n/2)} A026615(n-k,k). A26625

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

Triangular numbers which have one or more occurrences of exactly five different digits. A241788

a(n) = sum of numbers from 1 to π(n), where π(n) = A007955(n). A184390

Triangular numbers T(k) that have the same number of divisors as their successors T(k+1). A319035

a(n) = smallest k such that (10^k-1)/9 == 0 mod prime(n)², or 0 if no such k exists. A87094

Triangular numbers whose digit permutations yield at least two further triangular numbers. A69674