λ
Ratio Atlas
Atlas › Integer Profiles › Node 65,749,482
65,749,482
2 × 35 × 59 × 2293
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^5 × 59 × 2293
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 150,302,880
Proper Divisor Sum 84,553,398
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #65749471 ← → #65749483

Radix Representation

Decimal 65749482
Binary 11111010110100000111101010 (26 bits)
Octal 0o372640752
Hexadecimal 0x3EB41EA

Divisor Catalog (48)

1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 1,062 1,593 2,293 3,186 4,586 4,779 6,879 9,558 13,758 14,337 20,637 28,674 41,274 61,911 123,822 135,287 185,733 270,574 371,466 405,861 557,199 811,722 1,114,398 1,217,583 2,435,166 3,652,749 7,305,498 10,958,247 21,916,494 32,874,741 65,749,482

Collatz Trajectory (171 steps to reach 1)

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

65,749,482 32,874,741 98,624,224 49,312,112 24,656,056 12,328,028 6,164,014 3,082,007 9,246,022 4,623,011 13,869,034 6,934,517 20,803,552 10,401,776 5,200,888 2,600,444 1,300,222 650,111 1,950,334 975,167 2,925,502 1,462,751 4,388,254 2,194,127 6,582,382 3,291,191 9,873,574 4,936,787 14,810,362 7,405,181 22,215,544 11,107,772 5,553,886 2,776,943 8,330,830 4,165,415 12,496,246 6,248,123 18,744,370 9,372,185 28,116,556 14,058,278 7,029,139 21,087,418 10,543,709 31,631,128 15,815,564 7,907,782 3,953,891 11,861,674 5,930,837 17,792,512 8,896,256 4,448,128 2,224,064 1,112,032 556,016 278,008 139,004 69,502

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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