Properties of the Number 67788

Sixty-Seven Thousand Seven Hundred Eighty-Eight

Basics

Value: 67787 → 67788 → 67789

Parity: even

Prime: No

Previous Prime: 67783

Next Prime: 67789

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 7 × 269

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100011001100

Octal: 204314

Duodecimal: 33290

Hexadecimal: 108cc

Square: 4595212944

Square Root: 260.36128744496557

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

T(n,k)=Number of nXnXn triangular 0..k arrays with some element plus some adjacent element totalling k+1 or k-1 exactly once. A270606

Number of multi-trace BPS operators for the quiver gauge theory of the orbifold C²/Z₂. A120844

Sum T(n,k) of multinomials M(n; λ), where λ ranges over all partitions of n into parts that form a set of size k; triangle T(n,k), n>=0, 0<=k<=A003056(n), read by rows. A327803

Riordan array (1/(1-3x),x(1-x)/(1-3x)²). A114195

Expansion of e.g.f. (1/x) * Series_Reversion( x*(1 + x·log(1-x))² ). A376385

Number of 3X3X3 triangular 0..n arrays with some element plus some adjacent element totalling n+1 or n-1 exactly once. A270608

a(0) = 0, and for n > 0, (a(n)) gives the indices n for which d(n) > d(k) for k < n, where d is the difference sequence of (cos k + sin k). A299639

Number of partitions of n that contain at least one odd prime as a part. A355193

Sorted number reached from A033863(n) by Sort-then-add. A33864

Number of positive integers <= 2ⁿ of form 7 x² + 10 y². A54189