329,787

3² × 36643

329,787 factors as 3^2 × 36643. Its 6 positive divisors give a proper-divisor sum of 146,585, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 3^2 × 36643

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 476,372

Proper Divisor Sum 146,585

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #329779 ← → #329789

Radix Representation

Decimal	329787
Binary	1010000100000111011 (19 bits)
Octal	0o1204073
Hexadecimal	0x5083B

Divisor Catalog (6)

1 3 9 36,643 109,929 329,787

Collatz Trajectory (197 steps to reach 1)

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

329,787 989,362 494,681 1,484,044 742,022 371,011 1,113,034 556,517 1,669,552 834,776 417,388 208,694 104,347 313,042 156,521 469,564 234,782 117,391 352,174 176,087 528,262 264,131 792,394 396,197 1,188,592 594,296 297,148 148,574 74,287 222,862 111,431 334,294 167,147 501,442 250,721 752,164 376,082 188,041 564,124 282,062 141,031 423,094 211,547 634,642 317,321 951,964 475,982 237,991 713,974 356,987 1,070,962 535,481 1,606,444 803,222 401,611 1,204,834 602,417 1,807,252 903,626 451,813

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