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Atlas › Integer Profiles › Node 59,639,715

59,639,715

32 × 5 × 67 × 131 × 151
Deficient Odd Composite

59,639,715 factors as 3^2 × 5 × 67 × 131 × 151. Its 48 positive divisors give a proper-divisor sum of 46,779,741, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 67 × 131 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 106,419,456
Proper Divisor Sum 46,779,741
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #59639711 ← → #59639719

Radix Representation

Decimal 59639715
Binary 11100011100000011110100011 (26 bits)
Octal 0o343403643
Hexadecimal 0x38E07A3

Divisor Catalog (48)

1 3 5 9 15 45 67 131 151 201 335 393 453 603 655 755 1,005 1,179 1,359 1,965 2,265 3,015 5,895 6,795 8,777 10,117 19,781 26,331 30,351 43,885 50,585 59,343 78,993 91,053 98,905 131,655 151,755 178,029 296,715 394,965 455,265 890,145 1,325,327 3,975,981 6,626,635 11,927,943 19,879,905 59,639,715

Collatz Trajectory (189 steps to reach 1)

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

59,639,715 178,919,146 89,459,573 268,378,720 134,189,360 67,094,680 33,547,340 16,773,670 8,386,835 25,160,506 12,580,253 37,740,760 18,870,380 9,435,190 4,717,595 14,152,786 7,076,393 21,229,180 10,614,590 5,307,295 15,921,886 7,960,943 23,882,830 11,941,415 35,824,246 17,912,123 53,736,370 26,868,185 80,604,556 40,302,278 20,151,139 60,453,418 30,226,709 90,680,128 45,340,064 22,670,032 11,335,016 5,667,508 2,833,754 1,416,877 4,250,632 2,125,316 1,062,658 531,329 1,593,988 796,994 398,497 1,195,492 597,746 298,873 896,620 448,310 224,155 672,466 336,233 1,008,700 504,350 252,175 756,526 378,263

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