λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,009,370
50,009,370
2 × 3 × 5 × 79 × 21101
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 79 × 21101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 121,547,520
Proper Divisor Sum 71,538,150
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #50009357 ← → #50009371

Radix Representation

Decimal 50009370
Binary 10111110110001010100011010 (26 bits)
Octal 0o276612432
Hexadecimal 0x2FB151A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 79 158 237 395 474 790 1,185 2,370 21,101 42,202 63,303 105,505 126,606 211,010 316,515 633,030 1,666,979 3,333,958 5,000,937 8,334,895 10,001,874 16,669,790 25,004,685 50,009,370

Collatz Trajectory (261 steps to reach 1)

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

50,009,370 25,004,685 75,014,056 37,507,028 18,753,514 9,376,757 28,130,272 14,065,136 7,032,568 3,516,284 1,758,142 879,071 2,637,214 1,318,607 3,955,822 1,977,911 5,933,734 2,966,867 8,900,602 4,450,301 13,350,904 6,675,452 3,337,726 1,668,863 5,006,590 2,503,295 7,509,886 3,754,943 11,264,830 5,632,415 16,897,246 8,448,623 25,345,870 12,672,935 38,018,806 19,009,403 57,028,210 28,514,105 85,542,316 42,771,158 21,385,579 64,156,738 32,078,369 96,235,108 48,117,554 24,058,777 72,176,332 36,088,166 18,044,083 54,132,250 27,066,125 81,198,376 40,599,188 20,299,594 10,149,797 30,449,392 15,224,696 7,612,348 3,806,174 1,903,087

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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