λ
Ratio Atlas
Atlas › Integer Profiles › Node 43,755,312
43,755,312
24 × 3 × 37 × 71 × 347
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 37 × 71 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 118,063,872
Proper Divisor Sum 74,308,560
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #43755311 ← → #43755319

Radix Representation

Decimal 43755312
Binary 10100110111010011100110000 (26 bits)
Octal 0o246723460
Hexadecimal 0x29BA730

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 24 37 48 71 74 111 142 148 213 222 284 296 347 426 444 568 592 694 852 888 1,041 1,136 1,388 1,704 1,776 2,082 2,627 2,776 3,408 4,164 5,254 5,552 7,881 8,328 10,508 12,839 15,762 16,656 21,016 24,637 25,678 31,524 38,517 42,032 49,274 51,356 63,048 73,911 77,034 98,548 102,712 126,096

Collatz Trajectory (204 steps to reach 1)

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

43,755,312 21,877,656 10,938,828 5,469,414 2,734,707 8,204,122 4,102,061 12,306,184 6,153,092 3,076,546 1,538,273 4,614,820 2,307,410 1,153,705 3,461,116 1,730,558 865,279 2,595,838 1,297,919 3,893,758 1,946,879 5,840,638 2,920,319 8,760,958 4,380,479 13,141,438 6,570,719 19,712,158 9,856,079 29,568,238 14,784,119 44,352,358 22,176,179 66,528,538 33,264,269 99,792,808 49,896,404 24,948,202 12,474,101 37,422,304 18,711,152 9,355,576 4,677,788 2,338,894 1,169,447 3,508,342 1,754,171 5,262,514 2,631,257 7,893,772 3,946,886 1,973,443 5,920,330 2,960,165 8,880,496 4,440,248 2,220,124 1,110,062 555,031 1,665,094

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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