704,691

3² × 13 × 19 × 317

704,691 is odd and not a perfect square. Its factorization is 3^2 × 13 × 19 × 317 and its 24 divisors sum to 1,157,520.

Prime Factor Structure

Factorization String 3^2 × 13 × 19 × 317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,157,520

Proper Divisor Sum 452,829

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #704687 ← → #704713

Radix Representation

Decimal	704691
Binary	10101100000010110011 (20 bits)
Octal	0o2540263
Hexadecimal	0xAC0B3

Divisor Catalog (24)

1 3 9 13 19 39 57 117 171 247 317 741 951 2,223 2,853 4,121 6,023 12,363 18,069 37,089 54,207 78,299 234,897 704,691

Collatz Trajectory (167 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

704,691 2,114,074 1,057,037 3,171,112 1,585,556 792,778 396,389 1,189,168 594,584 297,292 148,646 74,323 222,970 111,485 334,456 167,228 83,614 41,807 125,422 62,711 188,134 94,067 282,202 141,101 423,304 211,652 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125

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