6,445,971

3² × 7 × 102317

6,445,971 factors as 3^2 × 7 × 102317. Its 12 positive divisors give a proper-divisor sum of 4,195,101, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 102317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,641,072

Proper Divisor Sum 4,195,101

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6445961 ← → #6445981

Radix Representation

Decimal	6445971
Binary	11000100101101110010011 (23 bits)
Octal	0o30455623
Hexadecimal	0x625B93

Divisor Catalog (12)

1 3 7 9 21 63 102,317 306,951 716,219 920,853 2,148,657 6,445,971

Collatz Trajectory (121 steps to reach 1)

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

6,445,971 19,337,914 9,668,957 29,006,872 14,503,436 7,251,718 3,625,859 10,877,578 5,438,789 16,316,368 8,158,184 4,079,092 2,039,546 1,019,773 3,059,320 1,529,660 764,830 382,415 1,147,246 573,623 1,720,870 860,435 2,581,306 1,290,653 3,871,960 1,935,980 967,990 483,995 1,451,986 725,993 2,177,980 1,088,990 544,495 1,633,486 816,743 2,450,230 1,225,115 3,675,346 1,837,673 5,513,020 2,756,510 1,378,255 4,134,766 2,067,383 6,202,150 3,101,075 9,303,226 4,651,613 13,954,840 6,977,420 3,488,710 1,744,355 5,233,066 2,616,533 7,849,600 3,924,800 1,962,400 981,200 490,600 245,300

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