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Atlas › Integer Profiles › Node 50,704,096

50,704,096

25 × 31 × 79 × 647
Abundant Even Composite

50,704,096 factors as 2^5 × 31 × 79 × 647. Its 48 positive divisors give a proper-divisor sum of 53,805,344, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^5 × 31 × 79 × 647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 104,509,440
Proper Divisor Sum 53,805,344
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #50704091 ← → #50704099

Radix Representation

Decimal 50704096
Binary 11000001011010111011100000 (26 bits)
Octal 0o301327340
Hexadecimal 0x305AEE0

Divisor Catalog (48)

1 2 4 8 16 31 32 62 79 124 158 248 316 496 632 647 992 1,264 1,294 2,449 2,528 2,588 4,898 5,176 9,796 10,352 19,592 20,057 20,704 39,184 40,114 51,113 78,368 80,228 102,226 160,456 204,452 320,912 408,904 641,824 817,808 1,584,503 1,635,616 3,169,006 6,338,012 12,676,024 25,352,048 50,704,096

Collatz Trajectory (168 steps to reach 1)

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

50,704,096 25,352,048 12,676,024 6,338,012 3,169,006 1,584,503 4,753,510 2,376,755 7,130,266 3,565,133 10,695,400 5,347,700 2,673,850 1,336,925 4,010,776 2,005,388 1,002,694 501,347 1,504,042 752,021 2,256,064 1,128,032 564,016 282,008 141,004 70,502 35,251 105,754 52,877 158,632 79,316 39,658 19,829 59,488 29,744 14,872 7,436 3,718 1,859 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250

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