λ
Ratio Atlas
Atlas › Integer Profiles › Node 37,293,165
37,293,165
32 × 5 × 72 × 13 × 1301
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 7^2 × 13 × 1301
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 81,041,688
Proper Divisor Sum 43,748,523
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #37293103 ← → #37293167

Radix Representation

Decimal 37293165
Binary 10001110010000110001101101 (26 bits)
Octal 0o216206155
Hexadecimal 0x2390C6D

Divisor Catalog (60 of 72)

1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1,301 1,365 1,911 2,205 3,185 3,903 4,095 5,733 6,505 9,107 9,555 11,709 16,913 19,515 27,321 28,665 45,535 50,739 58,545 63,749 81,963 84,565 118,391 136,605 152,217 191,247 253,695 318,745 355,173 409,815 573,741 591,955

Collatz Trajectory (271 steps to reach 1)

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

37,293,165 111,879,496 55,939,748 27,969,874 13,984,937 41,954,812 20,977,406 10,488,703 31,466,110 15,733,055 47,199,166 23,599,583 70,798,750 35,399,375 106,198,126 53,099,063 159,297,190 79,648,595 238,945,786 119,472,893 358,418,680 179,209,340 89,604,670 44,802,335 134,407,006 67,203,503 201,610,510 100,805,255 302,415,766 151,207,883 453,623,650 226,811,825 680,435,476 340,217,738 170,108,869 510,326,608 255,163,304 127,581,652 63,790,826 31,895,413 95,686,240 47,843,120 23,921,560 11,960,780 5,980,390 2,990,195 8,970,586 4,485,293 13,455,880 6,727,940 3,363,970 1,681,985 5,045,956 2,522,978 1,261,489 3,784,468 1,892,234 946,117 2,838,352 1,419,176

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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