λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,076,478
10,076,478
2 × 3 × 17 × 223 × 443
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 17 × 223 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,482,496
Proper Divisor Sum 11,406,018
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #10076477 ← → #10076483

Radix Representation

Decimal 10076478
Binary 100110011100000100111110 (24 bits)
Octal 0o46340476
Hexadecimal 0x99C13E

Divisor Catalog (32)

1 2 3 6 17 34 51 102 223 443 446 669 886 1,329 1,338 2,658 3,791 7,531 7,582 11,373 15,062 22,593 22,746 45,186 98,789 197,578 296,367 592,734 1,679,413 3,358,826 5,038,239 10,076,478

Collatz Trajectory (243 steps to reach 1)

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

10,076,478 5,038,239 15,114,718 7,557,359 22,672,078 11,336,039 34,008,118 17,004,059 51,012,178 25,506,089 76,518,268 38,259,134 19,129,567 57,388,702 28,694,351 86,083,054 43,041,527 129,124,582 64,562,291 193,686,874 96,843,437 290,530,312 145,265,156 72,632,578 36,316,289 108,948,868 54,474,434 27,237,217 81,711,652 40,855,826 20,427,913 61,283,740 30,641,870 15,320,935 45,962,806 22,981,403 68,944,210 34,472,105 103,416,316 51,708,158 25,854,079 77,562,238 38,781,119 116,343,358 58,171,679 174,515,038 87,257,519 261,772,558 130,886,279 392,658,838 196,329,419 588,988,258 294,494,129 883,482,388 441,741,194 220,870,597 662,611,792 331,305,896 165,652,948 82,826,474

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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