3,727,479

3 × 7² × 25357

3,727,479 factors as 3 × 7^2 × 25357. Its 12 positive divisors give a proper-divisor sum of 2,054,145, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 25357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,781,624

Proper Divisor Sum 2,054,145

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3727463 ← → #3727483

Radix Representation

Decimal	3727479
Binary	1110001110000001110111 (22 bits)
Octal	0o16160167
Hexadecimal	0x38E077

Divisor Catalog (12)

1 3 7 21 49 147 25,357 76,071 177,499 532,497 1,242,493 3,727,479

Collatz Trajectory (185 steps to reach 1)

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

3,727,479 11,182,438 5,591,219 16,773,658 8,386,829 25,160,488 12,580,244 6,290,122 3,145,061 9,435,184 4,717,592 2,358,796 1,179,398 589,699 1,769,098 884,549 2,653,648 1,326,824 663,412 331,706 165,853 497,560 248,780 124,390 62,195 186,586 93,293 279,880 139,940 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039 177,118 88,559 265,678 132,839 398,518 199,259 597,778 298,889 896,668 448,334 224,167 672,502 336,251 1,008,754 504,377 1,513,132 756,566 378,283 1,134,850 567,425 1,702,276 851,138

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