λ
Ratio Atlas
Atlas › Integer Profiles › Node 59,628,310
59,628,310
2 × 5 × 7 × 149 × 5717
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 149 × 5717
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 123,508,800
Proper Divisor Sum 63,880,490
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #59628287 ← → #59628311

Radix Representation

Decimal 59628310
Binary 11100011011101101100010110 (26 bits)
Octal 0o343355426
Hexadecimal 0x38DDB16

Divisor Catalog (32)

1 2 5 7 10 14 35 70 149 298 745 1,043 1,490 2,086 5,215 5,717 10,430 11,434 28,585 40,019 57,170 80,038 200,095 400,190 851,833 1,703,666 4,259,165 5,962,831 8,518,330 11,925,662 29,814,155 59,628,310

Collatz Trajectory (282 steps to reach 1)

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

59,628,310 29,814,155 89,442,466 44,721,233 134,163,700 67,081,850 33,540,925 100,622,776 50,311,388 25,155,694 12,577,847 37,733,542 18,866,771 56,600,314 28,300,157 84,900,472 42,450,236 21,225,118 10,612,559 31,837,678 15,918,839 47,756,518 23,878,259 71,634,778 35,817,389 107,452,168 53,726,084 26,863,042 13,431,521 40,294,564 20,147,282 10,073,641 30,220,924 15,110,462 7,555,231 22,665,694 11,332,847 33,998,542 16,999,271 50,997,814 25,498,907 76,496,722 38,248,361 114,745,084 57,372,542 28,686,271 86,058,814 43,029,407 129,088,222 64,544,111 193,632,334 96,816,167 290,448,502 145,224,251 435,672,754 217,836,377 653,509,132 326,754,566 163,377,283 490,131,850

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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