322,311

3 × 11 × 9767

Starting at 322,311, the Collatz iteration reaches 1 after 122 steps. The first transition is 966934; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 9767

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 468,864

Proper Divisor Sum 146,553

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #322271 ← → #322319

Radix Representation

Decimal	322311
Binary	1001110101100000111 (19 bits)
Octal	0o1165407
Hexadecimal	0x4EB07

Divisor Catalog (8)

1 3 11 33 9,767 29,301 107,437 322,311

Collatz Trajectory (122 steps to reach 1)

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

322,311 966,934 483,467 1,450,402 725,201 2,175,604 1,087,802 543,901 1,631,704 815,852 407,926 203,963 611,890 305,945 917,836 458,918 229,459 688,378 344,189 1,032,568 516,284 258,142 129,071 387,214 193,607 580,822 290,411 871,234 435,617 1,306,852 653,426 326,713 980,140 490,070 245,035 735,106 367,553 1,102,660 551,330 275,665 826,996 413,498 206,749 620,248 310,124 155,062 77,531 232,594 116,297 348,892 174,446 87,223 261,670 130,835 392,506 196,253 588,760 294,380 147,190 73,595

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