Properties of the Number 66753

Sixty-Six Thousand Seven Hundred Fifty-Three

Basics

Value: 66752 → 66753 → 66754

Parity: odd

Prime: No

Previous Prime: 66751

Next Prime: 66763

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7417

Divisors: 1, 3, 9, 7417, 22251, 66753

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000010011000001

Octal: 202301

Duodecimal: 32769

Hexadecimal: 104c1

Square: 4455963009

Square Root: 258.36601943754135

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

Numbers k such that k² is palindromic in base 4. A29986

Expansion of e.g.f. sinh(log(1+x))*exp(x). A9574

Trajectory of 7 under repeated application of the map in A185452. A185455

Number of degree-n permutations without even cycles and such that number of cycles of size 2k-1 is odd (or zero) for every k. A130648

E.g.f. satisfies: A(x) = exp(x·A(sin(x)*x)). A141627

Expansion of log(1+x)*cos(tanh(x)). A9409

Number of permutations of length n that avoid the patterns 1243 and 2431. A165534

G.f. A(x) satisfies A(x) = 1 + x·abs( 1/A(x) )². A380708

a(n) = least natural number k such that n + ∑_i=1..k prime(i) is prime if such k exists; = 0 otherwise. A66753

Number of (n+1)X(2+1) 0..2 arrays with the upper median plus the lower median minus the minimum of every 2X2 subblock equal. A236783