Properties of the Number 66388

Sixty-Six Thousand Three Hundred Eighty-Eight

Basics

Value: 66387 → 66388 → 66389

Parity: even

Prime: No

Previous Prime: 66383

Next Prime: 66403

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 × 2371

Divisors: 1, 2, 4, 7, 14, 28, 2371, 4742, 9484, 16597

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000001101010100

Octal: 201524

Duodecimal: 32504

Hexadecimal: 10354

Square: 4407366544

Square Root: 257.658688966625

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

For bases b = 2, 3, ..., n, let the base-b expansion of n be [c_1,b c_2,b .. c_{r_b,b}], with the most significant "digit" on the left, 0 <= c_i,b < b, and c_1,b ≠ 0; then a(n) is the number whose base-n expansion is the sum of all those expansions, regarding the c_i,j as integers mod n. A247880

G.f. A(x) = ∑_n>=0 a(n)*xⁿ satisfies: [∑_n>=0 xⁿ/(1 - xⁿ⁺¹)]⁴ = ∑_n>=0 a(n)*xⁿ/(1 - xⁿ⁺¹)⁴. A341375

a(n) = ∑_k=1..n 2^{n mod k}. A198383

Positive numbers whose square starts and ends with exactly 44, and no 444. A348831

Numbers j such that j and 2j are both between a pair of twin primes. A66388

Number of nX3 (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X4 binary array. A226847

Number of (4+1)X(n+1) 0..2 arrays with no 2X2 subblock having x11-x00 less than x10-x01. A251068