λ
Ratio Atlas
Atlas › Integer Profiles › Node 33,736,620
33,736,620
22 × 3 × 5 × 53 × 1032
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 53 × 103^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 97,188,336
Proper Divisor Sum 63,451,716
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #33736597 ← → #33736621

Radix Representation

Decimal 33736620
Binary 10000000101100011110101100 (26 bits)
Octal 0o200543654
Hexadecimal 0x202C7AC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 30 53 60 103 106 159 206 212 265 309 318 412 515 530 618 636 795 1,030 1,060 1,236 1,545 1,590 2,060 3,090 3,180 5,459 6,180 10,609 10,918 16,377 21,218 21,836 27,295 31,827 32,754 42,436 53,045 54,590 63,654 65,508 81,885 106,090 109,180 127,308 159,135 163,770 212,180 318,270 327,540 562,277

Collatz Trajectory (219 steps to reach 1)

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

33,736,620 16,868,310 8,434,155 25,302,466 12,651,233 37,953,700 18,976,850 9,488,425 28,465,276 14,232,638 7,116,319 21,348,958 10,674,479 32,023,438 16,011,719 48,035,158 24,017,579 72,052,738 36,026,369 108,079,108 54,039,554 27,019,777 81,059,332 40,529,666 20,264,833 60,794,500 30,397,250 15,198,625 45,595,876 22,797,938 11,398,969 34,196,908 17,098,454 8,549,227 25,647,682 12,823,841 38,471,524 19,235,762 9,617,881 28,853,644 14,426,822 7,213,411 21,640,234 10,820,117 32,460,352 16,230,176 8,115,088 4,057,544 2,028,772 1,014,386 507,193 1,521,580 760,790 380,395 1,141,186 570,593 1,711,780 855,890 427,945 1,283,836

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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