Properties of the Number 61709

Sixty-One Thousand Seven Hundred Nine

Basics

Value: 61708 → 61709 → 61710

Parity: odd

Prime: No

Previous Prime: 61703

Next Prime: 61717

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 23 × 2683

Divisors: 1, 23, 2683, 61709

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000100001101

Octal: 170415

Duodecimal: 2B865

Hexadecimal: f10d

Square: 3808000681

Square Root: 248.41296262473904

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(n) = (2 cos(π/15))ⁿ + (2 cos(7 π/15))ⁿ + (2 cos(11 π/15))ⁿ + (2 cos(13 π/15))ⁿ. A306603

a(n) = (8·n³ + 12·n² + 4·n - 9)/3. A358035

G.f. satisfies: A(x) = ∑_n>=0 A_n(x) * A(x)ⁿ where A_n+1(x) = A_n(A(x)) denotes iteration with A₀(x)=x and A'(0)=1. A180256

Consider a (hollow) triangle with n cells on each edge, for a total of 3(n-1) cells if n>1, or 1 cell if n=1; a(n) is number of ways of labeling cells with 0's and 1's; triangle may be rotated and turned over. A61709