λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,840
24,840
23 × 33 × 5 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 23
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 86,400
Proper Divisor Sum 61,560
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #24821 ← → #24841

Radix Representation

Decimal 24840
Binary 110000100001000 (15 bits)
Octal 0o60410
Hexadecimal 0x6108

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1,035 1,080 1,242 1,380 1,656 2,070 2,484 2,760 3,105 4,140 4,968

Collatz Trajectory (157 steps to reach 1)

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

24,840 12,420 6,210 3,105 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161

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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