λ
Ratio Atlas
Atlas › Integer Profiles › Node 577,230
577,230
2 × 3 × 5 × 71 × 271
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 71 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,410,048
Proper Divisor Sum 832,818
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #577219 ← → #577249

Radix Representation

Decimal 577230
Binary 10001100111011001110 (20 bits)
Octal 0o2147316
Hexadecimal 0x8CECE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 71 142 213 271 355 426 542 710 813 1,065 1,355 1,626 2,130 2,710 4,065 8,130 19,241 38,482 57,723 96,205 115,446 192,410 288,615 577,230

Collatz Trajectory (389 steps to reach 1)

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

577,230 288,615 865,846 432,923 1,298,770 649,385 1,948,156 974,078 487,039 1,461,118 730,559 2,191,678 1,095,839 3,287,518 1,643,759 4,931,278 2,465,639 7,396,918 3,698,459 11,095,378 5,547,689 16,643,068 8,321,534 4,160,767 12,482,302 6,241,151 18,723,454 9,361,727 28,085,182 14,042,591 42,127,774 21,063,887 63,191,662 31,595,831 94,787,494 47,393,747 142,181,242 71,090,621 213,271,864 106,635,932 53,317,966 26,658,983 79,976,950 39,988,475 119,965,426 59,982,713 179,948,140 89,974,070 44,987,035 134,961,106 67,480,553 202,441,660 101,220,830 50,610,415 151,831,246 75,915,623 227,746,870 113,873,435 341,620,306 170,810,153

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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