301,467

3 × 317²

301,467 factors as 3 × 317^2. Its 6 positive divisors give a proper-divisor sum of 101,761, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 3 × 317^2

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 403,228

Proper Divisor Sum 101,761

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #301463 ← → #301471

Radix Representation

Decimal	301467
Binary	1001001100110011011 (19 bits)
Octal	0o1114633
Hexadecimal	0x4999B

Divisor Catalog (6)

1 3 317 951 100,489 301,467

Collatz Trajectory (171 steps to reach 1)

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

301,467 904,402 452,201 1,356,604 678,302 339,151 1,017,454 508,727 1,526,182 763,091 2,289,274 1,144,637 3,433,912 1,716,956 858,478 429,239 1,287,718 643,859 1,931,578 965,789 2,897,368 1,448,684 724,342 362,171 1,086,514 543,257 1,629,772 814,886 407,443 1,222,330 611,165 1,833,496 916,748 458,374 229,187 687,562 343,781 1,031,344 515,672 257,836 128,918 64,459 193,378 96,689 290,068 145,034 72,517 217,552 108,776 54,388 27,194 13,597 40,792 20,396 10,198 5,099 15,298 7,649 22,948 11,474

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