3,767,344

2⁴ × 7 × 33637

For 3,767,344, the 20 positive divisors have a total of 8,342,224. Removing 3,767,344 leaves 4,574,880, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 7 × 33637

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,342,224

Proper Divisor Sum 4,574,880

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3767341 ← → #3767389

Radix Representation

Decimal	3767344
Binary	1110010111110000110000 (22 bits)
Octal	0o16276060
Hexadecimal	0x397C30

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 33,637 67,274 134,548 235,459 269,096 470,918 538,192 941,836 1,883,672 3,767,344

Collatz Trajectory (128 steps to reach 1)

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

3,767,344 1,883,672 941,836 470,918 235,459 706,378 353,189 1,059,568 529,784 264,892 132,446 66,223 198,670 99,335 298,006 149,003 447,010 223,505 670,516 335,258 167,629 502,888 251,444 125,722 62,861 188,584 94,292 47,146 23,573 70,720 35,360 17,680 8,840 4,420 2,210 1,105 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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