Properties of the Number 83845

Eighty-Three Thousand Eight Hundred Forty-Five

Basics

Value: 83844 → 83845 → 83846

Parity: odd

Prime: No

Previous Prime: 83843

Next Prime: 83857

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 41 × 409

Divisors: 1, 5, 41, 205, 409, 2045, 16769, 83845

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: Yes

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100011110000101

Octal: 243605

Duodecimal: 40631

Hexadecimal: 14785

Square: 7029984025

Square Root: 289.56001105124994

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

The first of two consecutive triangular numbers the sum of which is equal to the sum of two consecutive prime numbers. A298462

a(n) = n⁴ + 324. A272298

Squarefree n such that the elliptic curve n·y² = x³ - x arising in the "congruent number" problem has rank 3 and nontrivial SHA[2]. A62694

Diagonal of the triangle A095225. A95226

Hexagonal numbers that are sphenic numbers. A380007

Triangular numbers with sum of digits = 28. A68132

Triangular number·such that x + reverse of·is a prime. A72387

Number of length-5 0..n arrays with no following elements larger than the first repeated value. A267473

T(n,k)=Number of length-n 0..k arrays with no following elements larger than the first repeated value. A267471

a(n)² + 1 is largest prime of the form x² + 1 <= 10ⁿ. A83845