1,705,725

3³ × 5² × 7 × 19²

Starting at 1,705,725, the Collatz iteration reaches 1 after 176 steps. The first transition is 5117176; the starting value is odd with 72 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 7 × 19^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 3,779,520

Proper Divisor Sum 2,073,795

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1705721 ← → #1705747

Radix Representation

Decimal	1705725
Binary	110100000011011111101 (21 bits)
Octal	0o6403375
Hexadecimal	0x1A06FD

Divisor Catalog (60 of 72)

1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 95 105 133 135 171 175 189 225 285 315 361 399 475 513 525 665 675 855 945 1,083 1,197 1,425 1,575 1,805 1,995 2,527 2,565 3,249 3,325 3,591 4,275 4,725 5,415 5,985 7,581 9,025 9,747 9,975 12,635 12,825 16,245 17,955 22,743 27,075 29,925

Collatz Trajectory (176 steps to reach 1)

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

1,705,725 5,117,176 2,558,588 1,279,294 639,647 1,918,942 959,471 2,878,414 1,439,207 4,317,622 2,158,811 6,476,434 3,238,217 9,714,652 4,857,326 2,428,663 7,285,990 3,642,995 10,928,986 5,464,493 16,393,480 8,196,740 4,098,370 2,049,185 6,147,556 3,073,778 1,536,889 4,610,668 2,305,334 1,152,667 3,458,002 1,729,001 5,187,004 2,593,502 1,296,751 3,890,254 1,945,127 5,835,382 2,917,691 8,753,074 4,376,537 13,129,612 6,564,806 3,282,403 9,847,210 4,923,605 14,770,816 7,385,408 3,692,704 1,846,352 923,176 461,588 230,794 115,397 346,192 173,096 86,548 43,274 21,637 64,912

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