3,746,840

2³ × 5 × 47 × 1993

For 3,746,840, the 32 positive divisors have a total of 8,614,080. Removing 3,746,840 leaves 4,867,240, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 47 × 1993

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,614,080

Proper Divisor Sum 4,867,240

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3746839 ← → #3746843

Radix Representation

Decimal	3746840
Binary	1110010010110000011000 (22 bits)
Octal	0o16226030
Hexadecimal	0x392C18

Divisor Catalog (32)

1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1,880 1,993 3,986 7,972 9,965 15,944 19,930 39,860 79,720 93,671 187,342 374,684 468,355 749,368 936,710 1,873,420 3,746,840

Collatz Trajectory (128 steps to reach 1)

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

3,746,840 1,873,420 936,710 468,355 1,405,066 702,533 2,107,600 1,053,800 526,900 263,450 131,725 395,176 197,588 98,794 49,397 148,192 74,096 37,048 18,524 9,262 4,631 13,894 6,947 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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