λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,153,440
1,153,440
25 × 34 × 5 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3^4 × 5 × 89
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 4,116,420
Proper Divisor Sum 2,962,980
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1153429 ← → #1153441

Radix Representation

Decimal 1153440
Binary 100011001100110100000 (21 bits)
Octal 0o4314640
Hexadecimal 0x1199A0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 89 90 96 108 120 135 144 160 162 178 180 216 240 267 270 288 324 356 360 405 432 445 480 534 540 648 712 720 801 810 864 890 1,068

Collatz Trajectory (46 steps to reach 1)

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

1,153,440 576,720 288,360 144,180 72,090 36,045 108,136 54,068 27,034 13,517 40,552 20,276 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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