λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,136,265
4,136,265
34 × 5 × 7 × 1459
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 1459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,479,680
Proper Divisor Sum 4,343,415
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4136261 ← → #4136269

Radix Representation

Decimal 4136265
Binary 1111110001110101001001 (22 bits)
Octal 0o17616511
Hexadecimal 0x3F1D49

Divisor Catalog (40)

1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1,459 2,835 4,377 7,295 10,213 13,131 21,885 30,639 39,393 51,065 65,655 91,917 118,179 153,195 196,965 275,751 459,585 590,895 827,253 1,378,755 4,136,265

Collatz Trajectory (110 steps to reach 1)

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

4,136,265 12,408,796 6,204,398 3,102,199 9,306,598 4,653,299 13,959,898 6,979,949 20,939,848 10,469,924 5,234,962 2,617,481 7,852,444 3,926,222 1,963,111 5,889,334 2,944,667 8,834,002 4,417,001 13,251,004 6,625,502 3,312,751 9,938,254 4,969,127 14,907,382 7,453,691 22,361,074 11,180,537 33,541,612 16,770,806 8,385,403 25,156,210 12,578,105 37,734,316 18,867,158 9,433,579 28,300,738 14,150,369 42,451,108 21,225,554 10,612,777 31,838,332 15,919,166 7,959,583 23,878,750 11,939,375 35,818,126 17,909,063 53,727,190 26,863,595 80,590,786 40,295,393 120,886,180 60,443,090 30,221,545 90,664,636 45,332,318 22,666,159 67,998,478 33,999,239

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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