3,821,176

2³ × 127 × 3761

3,821,176 factors as 2^3 × 127 × 3761. Its 16 positive divisors give a proper-divisor sum of 3,401,864, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^3 × 127 × 3761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,223,040

Proper Divisor Sum 3,401,864

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3821173 ← → #3821177

Radix Representation

Decimal	3821176
Binary	1110100100111001111000 (22 bits)
Octal	0o16447170
Hexadecimal	0x3A4E78

Divisor Catalog (16)

1 2 4 8 127 254 508 1,016 3,761 7,522 15,044 30,088 477,647 955,294 1,910,588 3,821,176

Collatz Trajectory (128 steps to reach 1)

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

3,821,176 1,910,588 955,294 477,647 1,432,942 716,471 2,149,414 1,074,707 3,224,122 1,612,061 4,836,184 2,418,092 1,209,046 604,523 1,813,570 906,785 2,720,356 1,360,178 680,089 2,040,268 1,020,134 510,067 1,530,202 765,101 2,295,304 1,147,652 573,826 286,913 860,740 430,370 215,185 645,556 322,778 161,389 484,168 242,084 121,042 60,521 181,564 90,782 45,391 136,174 68,087 204,262 102,131 306,394 153,197 459,592 229,796 114,898 57,449 172,348 86,174 43,087 129,262 64,631 193,894 96,947 290,842 145,421

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