Properties of the Number 61609

Sixty-One Thousand Six Hundred Nine

Basics

Value: 61608 → 61609 → 61610

Parity: odd

Prime: Yes

Previous Prime: 61603

Next Prime: 61613

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 61609

Divisors: 1, 61609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000010101001

Octal: 170251

Duodecimal: 2B7A1

Hexadecimal: f0a9

Square: 3795668881

Square Root: 248.21160327430303

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

Numbers that are the sum of 8 positive 9th powers. A3397

Value of prime number D for incrementally largest values of minimal·satisfying the equation x² - D·y² = 3. A336794

primes of the form 5n² + 4. A201483

Value of prime number D for incrementally largest values of minimal y satisfying the equation x² - D·y² = 3. A336796

Expansion of series related to Liouville's Last Theorem: g.f. ∑_t>0 (-1)^t+1 *x^t*(t+1/2) / ( (1-x^t)⁵ *∏_i=1..t (1-xⁱ) ). A59822

Smallest prime p of the form p = 3ⁿ + k, where k has n prime divisors counted with multiplicity. A212821

Ooguri-Vafa invariants of disk domain wall degeneracies for brane I in the O(K) -> P¹ X P¹ geometry. A61609