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Atlas › Integer Profiles › Node 50,007,608

50,007,608

23 × 7 × 17 × 52529
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 52529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 113,464,800
Proper Divisor Sum 63,457,192
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #50007599 ← → #50007611

Radix Representation

Decimal 50007608
Binary 10111110110000111000111000 (26 bits)
Octal 0o276607070
Hexadecimal 0x2FB0E38

Divisor Catalog (32)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 52,529 105,058 210,116 367,703 420,232 735,406 892,993 1,470,812 1,785,986 2,941,624 3,571,972 6,250,951 7,143,944 12,501,902 25,003,804 50,007,608

Collatz Trajectory (186 steps to reach 1)

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

50,007,608 25,003,804 12,501,902 6,250,951 18,752,854 9,376,427 28,129,282 14,064,641 42,193,924 21,096,962 10,548,481 31,645,444 15,822,722 7,911,361 23,734,084 11,867,042 5,933,521 17,800,564 8,900,282 4,450,141 13,350,424 6,675,212 3,337,606 1,668,803 5,006,410 2,503,205 7,509,616 3,754,808 1,877,404 938,702 469,351 1,408,054 704,027 2,112,082 1,056,041 3,168,124 1,584,062 792,031 2,376,094 1,188,047 3,564,142 1,782,071 5,346,214 2,673,107 8,019,322 4,009,661 12,028,984 6,014,492 3,007,246 1,503,623 4,510,870 2,255,435 6,766,306 3,383,153 10,149,460 5,074,730 2,537,365 7,612,096 3,806,048 1,903,024

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