λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,891,788
47,891,788
22 × 7 × 17 × 100613
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 100613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 101,418,912
Proper Divisor Sum 53,527,124
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #47891749 ← → #47891803

Radix Representation

Decimal 47891788
Binary 10110110101100010101001100 (26 bits)
Octal 0o266542514
Hexadecimal 0x2DAC54C

Divisor Catalog (24)

1 2 4 7 14 17 28 34 68 119 238 476 100,613 201,226 402,452 704,291 1,408,582 1,710,421 2,817,164 3,420,842 6,841,684 11,972,947 23,945,894 47,891,788

Collatz Trajectory (116 steps to reach 1)

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

47,891,788 23,945,894 11,972,947 35,918,842 17,959,421 53,878,264 26,939,132 13,469,566 6,734,783 20,204,350 10,102,175 30,306,526 15,153,263 45,459,790 22,729,895 68,189,686 34,094,843 102,284,530 51,142,265 153,426,796 76,713,398 38,356,699 115,070,098 57,535,049 172,605,148 86,302,574 43,151,287 129,453,862 64,726,931 194,180,794 97,090,397 291,271,192 145,635,596 72,817,798 36,408,899 109,226,698 54,613,349 163,840,048 81,920,024 40,960,012 20,480,006 10,240,003 30,720,010 15,360,005 46,080,016 23,040,008 11,520,004 5,760,002 2,880,001 8,640,004 4,320,002 2,160,001 6,480,004 3,240,002 1,620,001 4,860,004 2,430,002 1,215,001 3,645,004 1,822,502

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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