λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,852,604

2,852,604

22 × 33 × 61 × 433
Abundant Even Composite

2,852,604 factors as 2^2 × 3^3 × 61 × 433. Its 48 positive divisors give a proper-divisor sum of 4,681,636, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 61 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,534,240
Proper Divisor Sum 4,681,636
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2852599 ← → #2852609

Radix Representation

Decimal 2852604
Binary 1010111000011011111100 (22 bits)
Octal 0o12703374
Hexadecimal 0x2B86FC

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 244 366 433 549 732 866 1,098 1,299 1,647 1,732 2,196 2,598 3,294 3,897 5,196 6,588 7,794 11,691 15,588 23,382 26,413 46,764 52,826 79,239 105,652 158,478 237,717 316,956 475,434 713,151 950,868 1,426,302 2,852,604

Collatz Trajectory (200 steps to reach 1)

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

2,852,604 1,426,302 713,151 2,139,454 1,069,727 3,209,182 1,604,591 4,813,774 2,406,887 7,220,662 3,610,331 10,830,994 5,415,497 16,246,492 8,123,246 4,061,623 12,184,870 6,092,435 18,277,306 9,138,653 27,415,960 13,707,980 6,853,990 3,426,995 10,280,986 5,140,493 15,421,480 7,710,740 3,855,370 1,927,685 5,783,056 2,891,528 1,445,764 722,882 361,441 1,084,324 542,162 271,081 813,244 406,622 203,311 609,934 304,967 914,902 457,451 1,372,354 686,177 2,058,532 1,029,266 514,633 1,543,900 771,950 385,975 1,157,926 578,963 1,736,890 868,445 2,605,336 1,302,668 651,334

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