512,451

3² × 97 × 587

512,451 factors as 3^2 × 97 × 587. Its 12 positive divisors give a proper-divisor sum of 236,661, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 3^2 × 97 × 587

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 749,112

Proper Divisor Sum 236,661

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #512443 ← → #512467

Radix Representation

Decimal	512451
Binary	1111101000111000011 (19 bits)
Octal	0o1750703
Hexadecimal	0x7D1C3

Divisor Catalog (12)

1 3 9 97 291 587 873 1,761 5,283 56,939 170,817 512,451

Collatz Trajectory (213 steps to reach 1)

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

512,451 1,537,354 768,677 2,306,032 1,153,016 576,508 288,254 144,127 432,382 216,191 648,574 324,287 972,862 486,431 1,459,294 729,647 2,188,942 1,094,471 3,283,414 1,641,707 4,925,122 2,462,561 7,387,684 3,693,842 1,846,921 5,540,764 2,770,382 1,385,191 4,155,574 2,077,787 6,233,362 3,116,681 9,350,044 4,675,022 2,337,511 7,012,534 3,506,267 10,518,802 5,259,401 15,778,204 7,889,102 3,944,551 11,833,654 5,916,827 17,750,482 8,875,241 26,625,724 13,312,862 6,656,431 19,969,294 9,984,647 29,953,942 14,976,971 44,930,914 22,465,457 67,396,372 33,698,186 16,849,093 50,547,280 25,273,640

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