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Ratio Atlas
Atlas › Integer Profiles › Node 2,182,102
2,182,102
2 × 13 × 23 × 41 × 89
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 23 × 41 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,810,240
Proper Divisor Sum 1,628,138
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2182099 ← → #2182109

Radix Representation

Decimal 2182102
Binary 1000010100101111010110 (22 bits)
Octal 0o10245726
Hexadecimal 0x214BD6

Divisor Catalog (32)

1 2 13 23 26 41 46 82 89 178 299 533 598 943 1,066 1,157 1,886 2,047 2,314 3,649 4,094 7,298 12,259 24,518 26,611 47,437 53,222 83,927 94,874 167,854 1,091,051 2,182,102

Collatz Trajectory (228 steps to reach 1)

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

2,182,102 1,091,051 3,273,154 1,636,577 4,909,732 2,454,866 1,227,433 3,682,300 1,841,150 920,575 2,761,726 1,380,863 4,142,590 2,071,295 6,213,886 3,106,943 9,320,830 4,660,415 13,981,246 6,990,623 20,971,870 10,485,935 31,457,806 15,728,903 47,186,710 23,593,355 70,780,066 35,390,033 106,170,100 53,085,050 26,542,525 79,627,576 39,813,788 19,906,894 9,953,447 29,860,342 14,930,171 44,790,514 22,395,257 67,185,772 33,592,886 16,796,443 50,389,330 25,194,665 75,583,996 37,791,998 18,895,999 56,687,998 28,343,999 85,031,998 42,515,999 127,547,998 63,773,999 191,321,998 95,660,999 286,982,998 143,491,499 430,474,498 215,237,249 645,711,748

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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