Properties of the Number 77388

Seventy-Seven Thousand Three Hundred Eighty-Eight

Basics

Value: 77387 → 77388 → 77389

Parity: even

Prime: No

Previous Prime: 77383

Next Prime: 77417

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 6449

Divisors: 1, 2, 3, 4, 6, 12, 6449, 12898, 19347, 25796

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111001001100

Octal: 227114

Duodecimal: 38950

Hexadecimal: 12e4c

Square: 5988902544

Square Root: 278.18698747425265

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

Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives numbers belonging to cycles, including fixed points. A165076

Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives numbers belonging to cycles of length greater than 1. A165078

Expansion of (sqrt(1-4x)-x)/(1-4x). A127275

Number of antichains in the first n elements of the infinite Boolean lattice. A132581

Let 2^k = smallest power of 2 >= binomial(n,[n/2]); a(n) = 2^k - binomial(n,[n/2]). A94779

Let 2^k = smallest power of 2 >= binomial(2n,n); a(n) = 2^k - binomial(2n,n). A94780

Square table, read by antidiagonals, of coefficients of x^k in the n-th self-composition of the g.f. of A120009, so that: T(n,k) = [x^k] { (x-x²) o x/(1-n·x) o (1-sqrt(1-4·x))/2 } for n>=1, k>=1. A120013

Row sums of the triangle in A122820. A77388