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Atlas › Integer Profiles › Node 3,868,280

3,868,280

23 × 5 × 13 × 43 × 173
Abundant Even Composite

3,868,280 factors as 2^3 × 5 × 13 × 43 × 173. Its 64 positive divisors give a proper-divisor sum of 5,778,280, so this integer is abundant. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 43 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,646,560
Proper Divisor Sum 5,778,280
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3868279 ← → #3868283

Radix Representation

Decimal 3868280
Binary 1110110000011001111000 (22 bits)
Octal 0o16603170
Hexadecimal 0x3B0678

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 173 215 260 344 346 430 520 559 692 860 865 1,118 1,384 1,720 1,730 2,236 2,249 2,795 3,460 4,472 4,498 5,590 6,920 7,439 8,996 11,180 11,245 14,878 17,992 22,360 22,490 29,756 37,195 44,980 59,512 74,390 89,960 96,707 148,780 193,414 297,560 386,828 483,535

Collatz Trajectory (128 steps to reach 1)

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

3,868,280 1,934,140 967,070 483,535 1,450,606 725,303 2,175,910 1,087,955 3,263,866 1,631,933 4,895,800 2,447,900 1,223,950 611,975 1,835,926 917,963 2,753,890 1,376,945 4,130,836 2,065,418 1,032,709 3,098,128 1,549,064 774,532 387,266 193,633 580,900 290,450 145,225 435,676 217,838 108,919 326,758 163,379 490,138 245,069 735,208 367,604 183,802 91,901 275,704 137,852 68,926 34,463 103,390 51,695 155,086 77,543 232,630 116,315 348,946 174,473 523,420 261,710 130,855 392,566 196,283 588,850 294,425 883,276

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