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Atlas › Integer Profiles › Node 50,813,430

50,813,430

2 × 3 × 5 × 83 × 20407
Abundant Even Composite

50,813,430 factors as 2 × 3 × 5 × 83 × 20407. Its 32 positive divisors give a proper-divisor sum of 72,614,154, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 83 × 20407
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 123,427,584
Proper Divisor Sum 72,614,154
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #50813383 ← → #50813431

Radix Representation

Decimal 50813430
Binary 11000001110101100111110110 (26 bits)
Octal 0o301654766
Hexadecimal 0x30759F6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 83 166 249 415 498 830 1,245 2,490 20,407 40,814 61,221 102,035 122,442 204,070 306,105 612,210 1,693,781 3,387,562 5,081,343 8,468,905 10,162,686 16,937,810 25,406,715 50,813,430

Collatz Trajectory (155 steps to reach 1)

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

50,813,430 25,406,715 76,220,146 38,110,073 114,330,220 57,165,110 28,582,555 85,747,666 42,873,833 128,621,500 64,310,750 32,155,375 96,466,126 48,233,063 144,699,190 72,349,595 217,048,786 108,524,393 325,573,180 162,786,590 81,393,295 244,179,886 122,089,943 366,269,830 183,134,915 549,404,746 274,702,373 824,107,120 412,053,560 206,026,780 103,013,390 51,506,695 154,520,086 77,260,043 231,780,130 115,890,065 347,670,196 173,835,098 86,917,549 260,752,648 130,376,324 65,188,162 32,594,081 97,782,244 48,891,122 24,445,561 73,336,684 36,668,342 18,334,171 55,002,514 27,501,257 82,503,772 41,251,886 20,625,943 61,877,830 30,938,915 92,816,746 46,408,373 139,225,120 69,612,560

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