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Atlas › Integer Profiles › Node 37,293,105

37,293,105

3 × 5 × 192 × 71 × 97
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 19^2 × 71 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 64,520,064
Proper Divisor Sum 27,226,959
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #37293103 ← → #37293167

Radix Representation

Decimal 37293105
Binary 10001110010000110000110001 (26 bits)
Octal 0o216206061
Hexadecimal 0x2390C31

Divisor Catalog (48)

1 3 5 15 19 57 71 95 97 213 285 291 355 361 485 1,065 1,083 1,349 1,455 1,805 1,843 4,047 5,415 5,529 6,745 6,887 9,215 20,235 20,661 25,631 27,645 34,435 35,017 76,893 103,305 105,051 128,155 130,853 175,085 384,465 392,559 525,255 654,265 1,962,795 2,486,207 7,458,621 12,431,035 37,293,105

Collatz Trajectory (271 steps to reach 1)

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

37,293,105 111,879,316 55,939,658 27,969,829 83,909,488 41,954,744 20,977,372 10,488,686 5,244,343 15,733,030 7,866,515 23,599,546 11,799,773 35,399,320 17,699,660 8,849,830 4,424,915 13,274,746 6,637,373 19,912,120 9,956,060 4,978,030 2,489,015 7,467,046 3,733,523 11,200,570 5,600,285 16,800,856 8,400,428 4,200,214 2,100,107 6,300,322 3,150,161 9,450,484 4,725,242 2,362,621 7,087,864 3,543,932 1,771,966 885,983 2,657,950 1,328,975 3,986,926 1,993,463 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

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