λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,598,850
52,598,850
2 × 3 × 52 × 17 × 20627
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 17 × 20627
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 138,125,088
Proper Divisor Sum 85,526,238
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #52598849 ← → #52598891

Radix Representation

Decimal 52598850
Binary 11001000101001100001000010 (26 bits)
Octal 0o310514102
Hexadecimal 0x3229842

Divisor Catalog (48)

1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1,275 2,550 20,627 41,254 61,881 103,135 123,762 206,270 309,405 350,659 515,675 618,810 701,318 1,031,350 1,051,977 1,547,025 1,753,295 2,103,954 3,094,050 3,506,590 5,259,885 8,766,475 10,519,770 17,532,950 26,299,425 52,598,850

Collatz Trajectory (155 steps to reach 1)

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

52,598,850 26,299,425 78,898,276 39,449,138 19,724,569 59,173,708 29,586,854 14,793,427 44,380,282 22,190,141 66,570,424 33,285,212 16,642,606 8,321,303 24,963,910 12,481,955 37,445,866 18,722,933 56,168,800 28,084,400 14,042,200 7,021,100 3,510,550 1,755,275 5,265,826 2,632,913 7,898,740 3,949,370 1,974,685 5,924,056 2,962,028 1,481,014 740,507 2,221,522 1,110,761 3,332,284 1,666,142 833,071 2,499,214 1,249,607 3,748,822 1,874,411 5,623,234 2,811,617 8,434,852 4,217,426 2,108,713 6,326,140 3,163,070 1,581,535 4,744,606 2,372,303 7,116,910 3,558,455 10,675,366 5,337,683 16,013,050 8,006,525 24,019,576 12,009,788

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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