3,727,382

2 × 19 × 47 × 2087

3,727,382 factors as 2 × 19 × 47 × 2087. Its 16 positive divisors give a proper-divisor sum of 2,286,058, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 19 × 47 × 2087

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,013,440

Proper Divisor Sum 2,286,058

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3727313 ← → #3727387

Radix Representation

Decimal	3727382
Binary	1110001110000000010110 (22 bits)
Octal	0o16160026
Hexadecimal	0x38E016

Divisor Catalog (16)

1 2 19 38 47 94 893 1,786 2,087 4,174 39,653 79,306 98,089 196,178 1,863,691 3,727,382

Collatz Trajectory (185 steps to reach 1)

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

3,727,382 1,863,691 5,591,074 2,795,537 8,386,612 4,193,306 2,096,653 6,289,960 3,144,980 1,572,490 786,245 2,358,736 1,179,368 589,684 294,842 147,421 442,264 221,132 110,566 55,283 165,850 82,925 248,776 124,388 62,194 31,097 93,292 46,646 23,323 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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