3,000,446

2 × 73 × 20551

3,000,446 factors as 2 × 73 × 20551. Its 8 positive divisors give a proper-divisor sum of 1,562,098, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 2 × 73 × 20551

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,562,544

Proper Divisor Sum 1,562,098

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3000409 ← → #3000463

Radix Representation

Decimal	3000446
Binary	1011011100100001111110 (22 bits)
Octal	0o13344176
Hexadecimal	0x2DC87E

Divisor Catalog (8)

1 2 73 146 20,551 41,102 1,500,223 3,000,446

Collatz Trajectory (257 steps to reach 1)

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

3,000,446 1,500,223 4,500,670 2,250,335 6,751,006 3,375,503 10,126,510 5,063,255 15,189,766 7,594,883 22,784,650 11,392,325 34,176,976 17,088,488 8,544,244 4,272,122 2,136,061 6,408,184 3,204,092 1,602,046 801,023 2,403,070 1,201,535 3,604,606 1,802,303 5,406,910 2,703,455 8,110,366 4,055,183 12,165,550 6,082,775 18,248,326 9,124,163 27,372,490 13,686,245 41,058,736 20,529,368 10,264,684 5,132,342 2,566,171 7,698,514 3,849,257 11,547,772 5,773,886 2,886,943 8,660,830 4,330,415 12,991,246 6,495,623 19,486,870 9,743,435 29,230,306 14,615,153 43,845,460 21,922,730 10,961,365 32,884,096 16,442,048 8,221,024 4,110,512

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