λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,976,480
9,976,480
25 × 5 × 23 × 2711
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 23 × 2711
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,603,264
Proper Divisor Sum 14,626,784
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9976471 ← → #9976481

Radix Representation

Decimal 9976480
Binary 100110000011101010100000 (24 bits)
Octal 0o46035240
Hexadecimal 0x983AA0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1,840 2,711 3,680 5,422 10,844 13,555 21,688 27,110 43,376 54,220 62,353 86,752 108,440 124,706 216,880 249,412 311,765 433,760 498,824 623,530 997,648 1,247,060 1,995,296 2,494,120 4,988,240 9,976,480

Collatz Trajectory (57 steps to reach 1)

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

9,976,480 4,988,240 2,494,120 1,247,060 623,530 311,765 935,296 467,648 233,824 116,912 58,456 29,228 14,614 7,307 21,922 10,961 32,884 16,442 8,221 24,664 12,332 6,166 3,083 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 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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