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Atlas › Integer Profiles › Node 50,541,410

50,541,410

2 × 5 × 101 × 163 × 307
Deficient Even Composite

50,541,410 factors as 2 × 5 × 101 × 163 × 307. Its 32 positive divisors give a proper-divisor sum of 42,198,622, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 5 × 101 × 163 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 92,740,032
Proper Divisor Sum 42,198,622
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #50541401 ← → #50541433

Radix Representation

Decimal 50541410
Binary 11000000110011001101100010 (26 bits)
Octal 0o300631542
Hexadecimal 0x3033362

Divisor Catalog (32)

1 2 5 10 101 163 202 307 326 505 614 815 1,010 1,535 1,630 3,070 16,463 31,007 32,926 50,041 62,014 82,315 100,082 155,035 164,630 250,205 310,070 500,410 5,054,141 10,108,282 25,270,705 50,541,410

Collatz Trajectory (155 steps to reach 1)

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

50,541,410 25,270,705 75,812,116 37,906,058 18,953,029 56,859,088 28,429,544 14,214,772 7,107,386 3,553,693 10,661,080 5,330,540 2,665,270 1,332,635 3,997,906 1,998,953 5,996,860 2,998,430 1,499,215 4,497,646 2,248,823 6,746,470 3,373,235 10,119,706 5,059,853 15,179,560 7,589,780 3,794,890 1,897,445 5,692,336 2,846,168 1,423,084 711,542 355,771 1,067,314 533,657 1,600,972 800,486 400,243 1,200,730 600,365 1,801,096 900,548 450,274 225,137 675,412 337,706 168,853 506,560 253,280 126,640 63,320 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905

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