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Ratio Atlas
Atlas › Integer Profiles › Node 2,801,547
2,801,547
38 × 7 × 61
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^8 × 7 × 61
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,881,136
Proper Divisor Sum 2,079,589
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2801543 ← → #2801573

Radix Representation

Decimal 2801547
Binary 1010101011111110001011 (22 bits)
Octal 0o12537613
Hexadecimal 0x2ABF8B

Divisor Catalog (36)

1 3 7 9 21 27 61 63 81 183 189 243 427 549 567 729 1,281 1,647 1,701 2,187 3,843 4,941 5,103 6,561 11,529 14,823 15,309 34,587 44,469 45,927 103,761 133,407 311,283 400,221 933,849 2,801,547

Collatz Trajectory (368 steps to reach 1)

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

2,801,547 8,404,642 4,202,321 12,606,964 6,303,482 3,151,741 9,455,224 4,727,612 2,363,806 1,181,903 3,545,710 1,772,855 5,318,566 2,659,283 7,977,850 3,988,925 11,966,776 5,983,388 2,991,694 1,495,847 4,487,542 2,243,771 6,731,314 3,365,657 10,096,972 5,048,486 2,524,243 7,572,730 3,786,365 11,359,096 5,679,548 2,839,774 1,419,887 4,259,662 2,129,831 6,389,494 3,194,747 9,584,242 4,792,121 14,376,364 7,188,182 3,594,091 10,782,274 5,391,137 16,173,412 8,086,706 4,043,353 12,130,060 6,065,030 3,032,515 9,097,546 4,548,773 13,646,320 6,823,160 3,411,580 1,705,790 852,895 2,558,686 1,279,343 3,838,030

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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