λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,538,680
9,538,680
23 × 3 × 5 × 29 × 2741
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 29 × 2741
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 29,613,600
Proper Divisor Sum 20,074,920
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9538679 ← → #9538693

Radix Representation

Decimal 9538680
Binary 100100011000110001111000 (24 bits)
Octal 0o44306170
Hexadecimal 0x918C78

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1,160 1,740 2,741 3,480 5,482 8,223 10,964 13,705 16,446 21,928 27,410 32,892 41,115 54,820 65,784 79,489 82,230 109,640 158,978 164,460 238,467 317,956 328,920 397,445 476,934 635,912 794,890 953,868 1,192,335 1,589,780 1,907,736

Collatz Trajectory (145 steps to reach 1)

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

9,538,680 4,769,340 2,384,670 1,192,335 3,577,006 1,788,503 5,365,510 2,682,755 8,048,266 4,024,133 12,072,400 6,036,200 3,018,100 1,509,050 754,525 2,263,576 1,131,788 565,894 282,947 848,842 424,421 1,273,264 636,632 318,316 159,158 79,579 238,738 119,369 358,108 179,054 89,527 268,582 134,291 402,874 201,437 604,312 302,156 151,078 75,539 226,618 113,309 339,928 169,964 84,982 42,491 127,474 63,737 191,212 95,606 47,803 143,410 71,705 215,116 107,558 53,779 161,338 80,669 242,008 121,004 60,502

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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