Properties of the Number 66688

Sixty-Six Thousand Six Hundred Eighty-Eight

Basics

Value: 66687 → 66688 → 66689

Parity: even

Prime: No

Previous Prime: 66683

Next Prime: 66697

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ⁷ × 521

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 521, 1042

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000010010000000

Octal: 202200

Duodecimal: 32714

Hexadecimal: 10480

Square: 4447289344

Square Root: 258.2401982651036

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(0) = 12, after which, if a(n-1) = ∏_{k >= 1} (p_k)^c_k, then a(n) = (1/2) * (1 + ∏_{k >= 1} (p_k+1)^c_k), where p_k indicates the k-th prime, A000040(k). A246342

Numbers with digits 6 and 8 only. A284635

Numbers k such that 1000k+1, 1000k+3, 1000k+7, 1000k+9 are all primes. A64962

Nearest integer to log(n!)^{1 + log(n}). A62474

Number of cuboids (rectangular prisms) that can be formed from the points of Z³ (a cubical grid of n X n X n points). A385023

G.f. satisfies: A(x) = 1 + x·A(x·A(x·A(x·A(x*...x·A(x*...)ⁿ...)⁴)³)²)¹. A190633

Numbers n such that p(n) is congruent to n mod σ(n), where p(n) denotes the n-th prime. A66688