Properties of the Number 93887

Ninety-Three Thousand Eight Hundred Eighty-Seven

Basics

Value: 93886 → 93887 → 93888

Parity: odd

Prime: Yes

Previous Prime: 93871

Next Prime: 93889

Digit Sum: 35

Digital Root: 8

Palindrome: No

Factorization: 93887

Divisors: 1, 93887

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10110111010111111

Octal: 267277

Duodecimal: 463BB

Hexadecimal: 16ebf

Square: 8814768769

Square Root: 306.40985623833967

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(1) = 2. For n>1, let s denote the binary string of a(n-1) with the leftmost 1 and following consecutive 0's removed. Then a(n) is the smallest prime not yet present whose binary representation begins with s. A262350

Number of binary strings of length n with no substrings equal to 0001 0101 or 1000. A164471

Lowest prime p in a ladder of 4 consecutive primes p, p+2, p+6, p+14. A372247

Primes p such that p+2, 3·p+2 and 3·p+8 are also primes. A278138

Inert rational primes in the intersection of all Q(sqrt(-d)) where d is a Heegner number. A309024

Primes p such that 2^j+p^j are primes for j=0,1,2,16. A94493

Number of base 7 circular n-digit numbers with adjacent digits differing by 5 or less. A125370

Numbers k such that 7·10^k - 47 is prime. A282457

Numbers k such that k, prime(k) and primepi(reverse(prime(k))) are emirps (A006567). A382389

a(n) = (A093886(n))! / (1!*2!*3!*...*n!). A93887