3,000,629

127 × 23627

3,000,629 factors as 127 × 23627. Its 4 positive divisors give a proper-divisor sum of 23,755, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 127 × 23627

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,024,384

Proper Divisor Sum 23,755

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3000617 ← → #3000637

Radix Representation

Decimal	3000629
Binary	1011011100100100110101 (22 bits)
Octal	0o13344465
Hexadecimal	0x2DC935

Divisor Catalog (4)

1 127 23,627 3,000,629

Collatz Trajectory (138 steps to reach 1)

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

3,000,629 9,001,888 4,500,944 2,250,472 1,125,236 562,618 281,309 843,928 421,964 210,982 105,491 316,474 158,237 474,712 237,356 118,678 59,339 178,018 89,009 267,028 133,514 66,757 200,272 100,136 50,068 25,034 12,517 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179

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