λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,352,004
47,352,004
22 × 7 × 17 × 31 × 3209
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 31 × 3209
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 103,541,760
Proper Divisor Sum 56,189,756
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #47352001 ← → #47352017

Radix Representation

Decimal 47352004
Binary 10110100101000100011000100 (26 bits)
Octal 0o264504304
Hexadecimal 0x2D288C4

Divisor Catalog (48)

1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 434 476 527 868 1,054 2,108 3,209 3,689 6,418 7,378 12,836 14,756 22,463 44,926 54,553 89,852 99,479 109,106 198,958 218,212 381,871 397,916 696,353 763,742 1,392,706 1,527,484 1,691,143 2,785,412 3,382,286 6,764,572 11,838,001 23,676,002 47,352,004

Collatz Trajectory (292 steps to reach 1)

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

47,352,004 23,676,002 11,838,001 35,514,004 17,757,002 8,878,501 26,635,504 13,317,752 6,658,876 3,329,438 1,664,719 4,994,158 2,497,079 7,491,238 3,745,619 11,236,858 5,618,429 16,855,288 8,427,644 4,213,822 2,106,911 6,320,734 3,160,367 9,481,102 4,740,551 14,221,654 7,110,827 21,332,482 10,666,241 31,998,724 15,999,362 7,999,681 23,999,044 11,999,522 5,999,761 17,999,284 8,999,642 4,499,821 13,499,464 6,749,732 3,374,866 1,687,433 5,062,300 2,531,150 1,265,575 3,796,726 1,898,363 5,695,090 2,847,545 8,542,636 4,271,318 2,135,659 6,406,978 3,203,489 9,610,468 4,805,234 2,402,617 7,207,852 3,603,926 1,801,963

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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