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Atlas › Integer Profiles › Node 49,902,528

49,902,528

26 × 3 × 13 × 19993
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 13 × 19993
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 142,197,328
Proper Divisor Sum 92,294,800
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #49902527 ← → #49902547

Radix Representation

Decimal 49902528
Binary 10111110010111001111000000 (26 bits)
Octal 0o276271700
Hexadecimal 0x2F973C0

Divisor Catalog (56)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1,248 2,496 19,993 39,986 59,979 79,972 119,958 159,944 239,916 259,909 319,888 479,832 519,818 639,776 779,727 959,664 1,039,636 1,279,552 1,559,454 1,919,328 2,079,272 3,118,908 3,838,656 4,158,544 6,237,816 8,317,088 12,475,632 16,634,176 24,951,264 49,902,528

Collatz Trajectory (186 steps to reach 1)

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

49,902,528 24,951,264 12,475,632 6,237,816 3,118,908 1,559,454 779,727 2,339,182 1,169,591 3,508,774 1,754,387 5,263,162 2,631,581 7,894,744 3,947,372 1,973,686 986,843 2,960,530 1,480,265 4,440,796 2,220,398 1,110,199 3,330,598 1,665,299 4,995,898 2,497,949 7,493,848 3,746,924 1,873,462 936,731 2,810,194 1,405,097 4,215,292 2,107,646 1,053,823 3,161,470 1,580,735 4,742,206 2,371,103 7,113,310 3,556,655 10,669,966 5,334,983 16,004,950 8,002,475 24,007,426 12,003,713 36,011,140 18,005,570 9,002,785 27,008,356 13,504,178 6,752,089 20,256,268 10,128,134 5,064,067 15,192,202 7,596,101 22,788,304 11,394,152

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