λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,565,108
17,565,108
22 × 3 × 11 × 133069
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 133069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 44,711,520
Proper Divisor Sum 27,146,412
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #17565103 ← → #17565109

Radix Representation

Decimal 17565108
Binary 1000011000000010110110100 (25 bits)
Octal 0o103002664
Hexadecimal 0x10C05B4

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 133,069 266,138 399,207 532,276 798,414 1,463,759 1,596,828 2,927,518 4,391,277 5,855,036 8,782,554 17,565,108

Collatz Trajectory (213 steps to reach 1)

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

17,565,108 8,782,554 4,391,277 13,173,832 6,586,916 3,293,458 1,646,729 4,940,188 2,470,094 1,235,047 3,705,142 1,852,571 5,557,714 2,778,857 8,336,572 4,168,286 2,084,143 6,252,430 3,126,215 9,378,646 4,689,323 14,067,970 7,033,985 21,101,956 10,550,978 5,275,489 15,826,468 7,913,234 3,956,617 11,869,852 5,934,926 2,967,463 8,902,390 4,451,195 13,353,586 6,676,793 20,030,380 10,015,190 5,007,595 15,022,786 7,511,393 22,534,180 11,267,090 5,633,545 16,900,636 8,450,318 4,225,159 12,675,478 6,337,739 19,013,218 9,506,609 28,519,828 14,259,914 7,129,957 21,389,872 10,694,936 5,347,468 2,673,734 1,336,867 4,010,602

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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