3,766,792

2³ × 17 × 27697

For 3,766,792, the 16 positive divisors have a total of 7,478,460. Removing 3,766,792 leaves 3,711,668, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 17 × 27697

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,478,460

Proper Divisor Sum 3,711,668

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3766787 ← → #3766817

Radix Representation

Decimal	3766792
Binary	1110010111101000001000 (22 bits)
Octal	0o16275010
Hexadecimal	0x397A08

Divisor Catalog (16)

1 2 4 8 17 34 68 136 27,697 55,394 110,788 221,576 470,849 941,698 1,883,396 3,766,792

Collatz Trajectory (110 steps to reach 1)

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

3,766,792 1,883,396 941,698 470,849 1,412,548 706,274 353,137 1,059,412 529,706 264,853 794,560 397,280 198,640 99,320 49,660 24,830 12,415 37,246 18,623 55,870 27,935 83,806 41,903 125,710 62,855 188,566 94,283 282,850 141,425 424,276 212,138 106,069 318,208 159,104 79,552 39,776 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665

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