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Atlas › Integer Profiles › Node 3,886,320

3,886,320

24 × 3 × 5 × 16193
Abundant Even Composite

3,886,320 factors as 2^4 × 3 × 5 × 16193. Its 40 positive divisors give a proper-divisor sum of 8,162,016, so this integer is abundant. The Collatz stopping time is 278 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 16193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,048,336
Proper Divisor Sum 8,162,016
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3886307 ← → #3886321

Radix Representation

Decimal 3886320
Binary 1110110100110011110000 (22 bits)
Octal 0o16646360
Hexadecimal 0x3B4CF0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 16,193 32,386 48,579 64,772 80,965 97,158 129,544 161,930 194,316 242,895 259,088 323,860 388,632 485,790 647,720 777,264 971,580 1,295,440 1,943,160 3,886,320

Collatz Trajectory (278 steps to reach 1)

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

3,886,320 1,943,160 971,580 485,790 242,895 728,686 364,343 1,093,030 546,515 1,639,546 819,773 2,459,320 1,229,660 614,830 307,415 922,246 461,123 1,383,370 691,685 2,075,056 1,037,528 518,764 259,382 129,691 389,074 194,537 583,612 291,806 145,903 437,710 218,855 656,566 328,283 984,850 492,425 1,477,276 738,638 369,319 1,107,958 553,979 1,661,938 830,969 2,492,908 1,246,454 623,227 1,869,682 934,841 2,804,524 1,402,262 701,131 2,103,394 1,051,697 3,155,092 1,577,546 788,773 2,366,320 1,183,160 591,580 295,790 147,895

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