λ
Ratio Atlas
Atlas › Integer Profiles › Node 48,823,918
48,823,918
2 × 11 × 13 × 53 × 3221
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 13 × 53 × 3221
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,689,952
Proper Divisor Sum 38,866,034
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #48823913 ← → #48823919

Radix Representation

Decimal 48823918
Binary 10111010001111111001101110 (26 bits)
Octal 0o272177156
Hexadecimal 0x2E8FE6E

Divisor Catalog (32)

1 2 11 13 22 26 53 106 143 286 583 689 1,166 1,378 3,221 6,442 7,579 15,158 35,431 41,873 70,862 83,746 170,713 341,426 460,603 921,206 1,877,843 2,219,269 3,755,686 4,438,538 24,411,959 48,823,918

Collatz Trajectory (261 steps to reach 1)

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

48,823,918 24,411,959 73,235,878 36,617,939 109,853,818 54,926,909 164,780,728 82,390,364 41,195,182 20,597,591 61,792,774 30,896,387 92,689,162 46,344,581 139,033,744 69,516,872 34,758,436 17,379,218 8,689,609 26,068,828 13,034,414 6,517,207 19,551,622 9,775,811 29,327,434 14,663,717 43,991,152 21,995,576 10,997,788 5,498,894 2,749,447 8,248,342 4,124,171 12,372,514 6,186,257 18,558,772 9,279,386 4,639,693 13,919,080 6,959,540 3,479,770 1,739,885 5,219,656 2,609,828 1,304,914 652,457 1,957,372 978,686 489,343 1,468,030 734,015 2,202,046 1,101,023 3,303,070 1,651,535 4,954,606 2,477,303 7,431,910 3,715,955 11,147,866

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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