λ
Ratio Atlas
Atlas › Integer Profiles › Node 96,029,050
96,029,050
2 × 52 × 13 × 157 × 941
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 157 × 941
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 193,784,472
Proper Divisor Sum 97,755,422
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #96029047 ← → #96029051

Radix Representation

Decimal 96029050
Binary 101101110010100100101111010 (27 bits)
Octal 0o556244572
Hexadecimal 0x5B9497A

Divisor Catalog (48)

1 2 5 10 13 25 26 50 65 130 157 314 325 650 785 941 1,570 1,882 2,041 3,925 4,082 4,705 7,850 9,410 10,205 12,233 20,410 23,525 24,466 47,050 51,025 61,165 102,050 122,330 147,737 295,474 305,825 611,650 738,685 1,477,370 1,920,581 3,693,425 3,841,162 7,386,850 9,602,905 19,205,810 48,014,525 96,029,050

Collatz Trajectory (125 steps to reach 1)

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

96,029,050 48,014,525 144,043,576 72,021,788 36,010,894 18,005,447 54,016,342 27,008,171 81,024,514 40,512,257 121,536,772 60,768,386 30,384,193 91,152,580 45,576,290 22,788,145 68,364,436 34,182,218 17,091,109 51,273,328 25,636,664 12,818,332 6,409,166 3,204,583 9,613,750 4,806,875 14,420,626 7,210,313 21,630,940 10,815,470 5,407,735 16,223,206 8,111,603 24,334,810 12,167,405 36,502,216 18,251,108 9,125,554 4,562,777 13,688,332 6,844,166 3,422,083 10,266,250 5,133,125 15,399,376 7,699,688 3,849,844 1,924,922 962,461 2,887,384 1,443,692 721,846 360,923 1,082,770 541,385 1,624,156 812,078 406,039 1,218,118 609,059

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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