Properties of the Number 77301

Seventy-Seven Thousand Three Hundred One

Basics

Value: 77300 → 77301 → 77302

Parity: odd

Prime: No

Previous Prime: 77291

Next Prime: 77317

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 7 × 409

Divisors: 1, 3, 7, 9, 21, 27, 63, 189, 409, 1227

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110111110101

Octal: 226765

Duodecimal: 38899

Hexadecimal: 12df5

Square: 5975444601

Square Root: 278.03057385834387

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

a(1) = 1; if a(n) is not divisible by 3, a(n+1) = 4·a(n) + 1, otherwise a(n+1) = a(n)/3. A346035

Expansion of g⁵/(1 + x·g)², where g = 1+x·g² is the g.f. of A000108. A391408

Convolution of this sequence with its binomial transform equals the second iteration of the binomial transform upon this sequence. A90364

The number of pairs of 3x3 matrices with elements from 0 to n such that the matrix product results in each element being the concatenation of the corresponding terms in base n. A375157

Partition the concatenation 1234567...of natural numbers into successive strings which are multiples of 8, all different and > 8. (0 never taken as the most significant digit.) A77301