λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,109,745
1,109,745
32 × 5 × 7 × 13 × 271
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 13 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,376,192
Proper Divisor Sum 1,266,447
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1109737 ← → #1109749

Radix Representation

Decimal 1109745
Binary 100001110111011110001 (21 bits)
Octal 0o4167361
Hexadecimal 0x10EEF1

Divisor Catalog (48)

1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 271 273 315 455 585 813 819 1,355 1,365 1,897 2,439 3,523 4,065 4,095 5,691 9,485 10,569 12,195 17,073 17,615 24,661 28,455 31,707 52,845 73,983 85,365 123,305 158,535 221,949 369,915 1,109,745

Collatz Trajectory (134 steps to reach 1)

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

1,109,745 3,329,236 1,664,618 832,309 2,496,928 1,248,464 624,232 312,116 156,058 78,029 234,088 117,044 58,522 29,261 87,784 43,892 21,946 10,973 32,920 16,460 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186

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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