Properties of the Number 82787

Eighty-Two Thousand Seven Hundred Eighty-Seven

Basics

Value: 82786 → 82787 → 82788

Parity: odd

Prime: Yes

Previous Prime: 82781

Next Prime: 82793

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 82787

Divisors: 1, 82787

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100001101100011

Octal: 241543

Duodecimal: 3BAAB

Hexadecimal: 14363

Square: 6853687369

Square Root: 287.72730145052276

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

Primes having only {2, 7, 8} as digits. A385789

Second term of balanced prime quartets: p(m)-p(m-1) = p(m+1)-p(m) = p(m+2)-p(m+1). A54801

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 10 : primes in A146335. A146355

a(n) = 121·n² - 204·n + 86. A157440

Numbers k such that k and k+6 are both balanced primes. A173892

E.g.f. A(x) satisfies A(x) = exp( x/A(-x·A(x)²)² ). A384809

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384809. A384811

Primes, starting with a(1)=2, whose successive differences are increasing triangular numbers. A278139

Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 1000-1111-0110 pattern in any orientation. A146613

a(n) = (2/3)*(2·n-1)!*binomial(3·n,2·n). A82787