3,207,785

5 × 7² × 13093

3,207,785 factors as 5 × 7^2 × 13093. Its 12 positive divisors give a proper-divisor sum of 1,270,363, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 13093

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,478,148

Proper Divisor Sum 1,270,363

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3207779 ← → #3207791

Radix Representation

Decimal	3207785
Binary	1100001111001001101001 (22 bits)
Octal	0o14171151
Hexadecimal	0x30F269

Divisor Catalog (12)

1 5 7 35 49 245 13,093 65,465 91,651 458,255 641,557 3,207,785

Collatz Trajectory (146 steps to reach 1)

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

3,207,785 9,623,356 4,811,678 2,405,839 7,217,518 3,608,759 10,826,278 5,413,139 16,239,418 8,119,709 24,359,128 12,179,564 6,089,782 3,044,891 9,134,674 4,567,337 13,702,012 6,851,006 3,425,503 10,276,510 5,138,255 15,414,766 7,707,383 23,122,150 11,561,075 34,683,226 17,341,613 52,024,840 26,012,420 13,006,210 6,503,105 19,509,316 9,754,658 4,877,329 14,631,988 7,315,994 3,657,997 10,973,992 5,486,996 2,743,498 1,371,749 4,115,248 2,057,624 1,028,812 514,406 257,203 771,610 385,805 1,157,416 578,708 289,354 144,677 434,032 217,016 108,508 54,254 27,127 81,382 40,691 122,074

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