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Atlas › Integer Profiles › Node 50,002,428

50,002,428

22 × 3 × 7 × 595267
Abundant Even Composite

50,002,428 factors as 2^2 × 3 × 7 × 595267. Its 24 positive divisors give a proper-divisor sum of 83,337,604, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 595267
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 133,340,032
Proper Divisor Sum 83,337,604
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #50002427 ← → #50002451

Radix Representation

Decimal 50002428
Binary 10111110101111100111111100 (26 bits)
Octal 0o276574774
Hexadecimal 0x2FAF9FC

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 595,267 1,190,534 1,785,801 2,381,068 3,571,602 4,166,869 7,143,204 8,333,738 12,500,607 16,667,476 25,001,214 50,002,428

Collatz Trajectory (212 steps to reach 1)

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

50,002,428 25,001,214 12,500,607 37,501,822 18,750,911 56,252,734 28,126,367 84,379,102 42,189,551 126,568,654 63,284,327 189,852,982 94,926,491 284,779,474 142,389,737 427,169,212 213,584,606 106,792,303 320,376,910 160,188,455 480,565,366 240,282,683 720,848,050 360,424,025 1,081,272,076 540,636,038 270,318,019 810,954,058 405,477,029 1,216,431,088 608,215,544 304,107,772 152,053,886 76,026,943 228,080,830 114,040,415 342,121,246 171,060,623 513,181,870 256,590,935 769,772,806 384,886,403 1,154,659,210 577,329,605 1,731,988,816 865,994,408 432,997,204 216,498,602 108,249,301 324,747,904 162,373,952 81,186,976 40,593,488 20,296,744 10,148,372 5,074,186 2,537,093 7,611,280 3,805,640 1,902,820

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