λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,313,636
48,313,636
22 × 7 × 83 × 20789
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 83 × 20789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 97,796,160
Proper Divisor Sum 49,482,524
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #48313631 ← → #48313667

Radix Representation

Decimal 48313636
Binary 10111000010011010100100100 (26 bits)
Octal 0o270232444
Hexadecimal 0x2E13524

Divisor Catalog (24)

1 2 4 7 14 28 83 166 332 581 1,162 2,324 20,789 41,578 83,156 145,523 291,046 582,092 1,725,487 3,450,974 6,901,948 12,078,409 24,156,818 48,313,636

Collatz Trajectory (274 steps to reach 1)

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

48,313,636 24,156,818 12,078,409 36,235,228 18,117,614 9,058,807 27,176,422 13,588,211 40,764,634 20,382,317 61,146,952 30,573,476 15,286,738 7,643,369 22,930,108 11,465,054 5,732,527 17,197,582 8,598,791 25,796,374 12,898,187 38,694,562 19,347,281 58,041,844 29,020,922 14,510,461 43,531,384 21,765,692 10,882,846 5,441,423 16,324,270 8,162,135 24,486,406 12,243,203 36,729,610 18,364,805 55,094,416 27,547,208 13,773,604 6,886,802 3,443,401 10,330,204 5,165,102 2,582,551 7,747,654 3,873,827 11,621,482 5,810,741 17,432,224 8,716,112 4,358,056 2,179,028 1,089,514 544,757 1,634,272 817,136 408,568 204,284 102,142 51,071

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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