λ
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Atlas › Integer Profiles › Node 50,551,816

50,551,816

23 × 7 × 467 × 1933
Abundant Even Composite

50,551,816 factors as 2^3 × 7 × 467 × 1933. Its 32 positive divisors give a proper-divisor sum of 58,061,624, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 467 × 1933
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 108,613,440
Proper Divisor Sum 58,061,624
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #50551801 ← → #50551817

Radix Representation

Decimal 50551816
Binary 11000000110101110000001000 (26 bits)
Octal 0o300656010
Hexadecimal 0x3035C08

Divisor Catalog (32)

1 2 4 7 8 14 28 56 467 934 1,868 1,933 3,269 3,736 3,866 6,538 7,732 13,076 13,531 15,464 26,152 27,062 54,124 108,248 902,711 1,805,422 3,610,844 6,318,977 7,221,688 12,637,954 25,275,908 50,551,816

Collatz Trajectory (129 steps to reach 1)

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

50,551,816 25,275,908 12,637,954 6,318,977 18,956,932 9,478,466 4,739,233 14,217,700 7,108,850 3,554,425 10,663,276 5,331,638 2,665,819 7,997,458 3,998,729 11,996,188 5,998,094 2,999,047 8,997,142 4,498,571 13,495,714 6,747,857 20,243,572 10,121,786 5,060,893 15,182,680 7,591,340 3,795,670 1,897,835 5,693,506 2,846,753 8,540,260 4,270,130 2,135,065 6,405,196 3,202,598 1,601,299 4,803,898 2,401,949 7,205,848 3,602,924 1,801,462 900,731 2,702,194 1,351,097 4,053,292 2,026,646 1,013,323 3,039,970 1,519,985 4,559,956 2,279,978 1,139,989 3,419,968 1,709,984 854,992 427,496 213,748 106,874 53,437

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