λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,051,140
15,051,140
22 × 5 × 132 × 61 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 61 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 35,263,368
Proper Divisor Sum 20,212,228
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #15051133 ← → #15051143

Radix Representation

Decimal 15051140
Binary 111001011010100110000100 (24 bits)
Octal 0o71324604
Hexadecimal 0xE5A984

Divisor Catalog (60 of 72)

1 2 4 5 10 13 20 26 52 61 65 73 122 130 146 169 244 260 292 305 338 365 610 676 730 793 845 949 1,220 1,460 1,586 1,690 1,898 3,172 3,380 3,796 3,965 4,453 4,745 7,930 8,906 9,490 10,309 12,337 15,860 17,812 18,980 20,618 22,265 24,674 41,236 44,530 49,348 51,545 57,889 61,685 89,060 103,090 115,778 123,370

Collatz Trajectory (280 steps to reach 1)

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

15,051,140 7,525,570 3,762,785 11,288,356 5,644,178 2,822,089 8,466,268 4,233,134 2,116,567 6,349,702 3,174,851 9,524,554 4,762,277 14,286,832 7,143,416 3,571,708 1,785,854 892,927 2,678,782 1,339,391 4,018,174 2,009,087 6,027,262 3,013,631 9,040,894 4,520,447 13,561,342 6,780,671 20,342,014 10,171,007 30,513,022 15,256,511 45,769,534 22,884,767 68,654,302 34,327,151 102,981,454 51,490,727 154,472,182 77,236,091 231,708,274 115,854,137 347,562,412 173,781,206 86,890,603 260,671,810 130,335,905 391,007,716 195,503,858 97,751,929 293,255,788 146,627,894 73,313,947 219,941,842 109,970,921 329,912,764 164,956,382 82,478,191 247,434,574 123,717,287

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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