Properties of the Number 85507

Eighty-Five Thousand Five Hundred Seven

Basics

Value: 85506 → 85507 → 85508

Parity: odd

Prime: No

Previous Prime: 85487

Next Prime: 85513

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 37 × 2311

Divisors: 1, 37, 2311, 85507

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111000000011

Octal: 247003

Duodecimal: 41597

Hexadecimal: 14e03

Square: 7311447049

Square Root: 292.4157998467251

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

Largest squarefree number k such that Q(sqrt(-k)) has class number n. A38552

Number of partitions of the n-th deficient number into deficient numbers. A97799

Greatest number, not divisible by 4, having exactly n partitions into three positive squares. A95812

Greatest number, not divisible by 4, having exactly n partitions into three squares. A95811

Largest number k such that C(-k) is the cyclic group of order n, where C(D) is the class group of the quadratic field with discriminant D; or 0 if no such k exists. A357600

Fundamental discriminant D < 0 with the least absolute value such that the smallest prime p such that Kronecker(D,p) = 1 is p = prime(n), negated. A330161

Stirling transform of the prime characteristic function. A85507