λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,123,744
9,123,744
25 × 3 × 7 × 13577
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 13577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,373,248
Proper Divisor Sum 18,249,504
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9123739 ← → #9123761

Radix Representation

Decimal 9123744
Binary 100010110011011110100000 (24 bits)
Octal 0o42633640
Hexadecimal 0x8B37A0

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 13,577 27,154 40,731 54,308 81,462 95,039 108,616 162,924 190,078 217,232 285,117 325,848 380,156 434,464 570,234 651,696 760,312 1,140,468 1,303,392 1,520,624 2,280,936 3,041,248 4,561,872 9,123,744

Collatz Trajectory (80 steps to reach 1)

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

9,123,744 4,561,872 2,280,936 1,140,468 570,234 285,117 855,352 427,676 213,838 106,919 320,758 160,379 481,138 240,569 721,708 360,854 180,427 541,282 270,641 811,924 405,962 202,981 608,944 304,472 152,236 76,118 38,059 114,178 57,089 171,268 85,634 42,817 128,452 64,226 32,113 96,340 48,170 24,085 72,256 36,128 18,064 9,032 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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