λ
Ratio Atlas
Atlas › Integer Profiles › Node 537,824
537,824
25 × 75
Abundant Even Composite

Prime Factor Structure

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

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,235,304
Proper Divisor Sum 697,480
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #537811 ← → #537841

Radix Representation

Decimal 537824
Binary 10000011010011100000 (20 bits)
Octal 0o2032340
Hexadecimal 0x834E0

Divisor Catalog (36)

1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1,372 1,568 2,401 2,744 4,802 5,488 9,604 10,976 16,807 19,208 33,614 38,416 67,228 76,832 134,456 268,912 537,824

Collatz Trajectory (71 steps to reach 1)

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

537,824 268,912 134,456 67,228 33,614 16,807 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17

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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