λ
Ratio Atlas
Atlas › Integer Profiles › Node 324,240
324,240
24 × 3 × 5 × 7 × 193
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 7 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 1,154,688
Proper Divisor Sum 830,448
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #324239 ← → #324251

Radix Representation

Decimal 324240
Binary 1001111001010010000 (19 bits)
Octal 0o1171220
Hexadecimal 0x4F290

Divisor Catalog (60 of 80)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 193 210 240 280 336 386 420 560 579 772 840 965 1,158 1,351 1,544 1,680 1,930 2,316 2,702 2,895 3,088 3,860 4,053 4,632 5,404 5,790 6,755 7,720

Collatz Trajectory (65 steps to reach 1)

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

324,240 162,120 81,060 40,530 20,265 60,796 30,398 15,199 45,598 22,799 68,398 34,199 102,598 51,299 153,898 76,949 230,848 115,424 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10

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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