Properties of the Number 67296

Sixty-Seven Thousand Two Hundred Ninety-Six

Basics

Value: 67295 → 67296 → 67297

Parity: even

Prime: No

Previous Prime: 67289

Next Prime: 67307

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 701

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000011011100000

Octal: 203340

Duodecimal: 32B40

Hexadecimal: 106e0

Square: 4528751616

Square Root: 259.4147258734554

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

Number of planted identity trees where non-root, non-leaf nodes an even distance from root are of degree 2. A7560

G.f.: ∑_n>=0 (1 + x)^n*(n+1/2) / 2ⁿ. A265937

Number of 5X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 5 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192705

G.f. A(x) satisfies: x = A(x)-2·A(x)²-2·A(x)³. A276310

Fifth column of triangle A028364. A67296