λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,024
24,024
23 × 3 × 7 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 80,640
Proper Divisor Sum 56,616
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #24023 ← → #24029

Radix Representation

Decimal 24024
Binary 101110111011000 (15 bits)
Octal 0o56730
Hexadecimal 0x5DD8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1,001 1,092 1,144 1,716 1,848 2,002 2,184 3,003 3,432 4,004

Collatz Trajectory (43 steps to reach 1)

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

24,024 12,012 6,006 3,003 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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