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Atlas › Integer Profiles › Node 50,009,406

50,009,406

2 × 3 × 19 × 23 × 19073
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 19 × 23 × 19073
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 109,866,240
Proper Divisor Sum 59,856,834
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #50009371 ← → #50009419

Radix Representation

Decimal 50009406
Binary 10111110110001010100111110 (26 bits)
Octal 0o276612476
Hexadecimal 0x2FB153E

Divisor Catalog (32)

1 2 3 6 19 23 38 46 57 69 114 138 437 874 1,311 2,622 19,073 38,146 57,219 114,438 362,387 438,679 724,774 877,358 1,087,161 1,316,037 2,174,322 2,632,074 8,334,901 16,669,802 25,004,703 50,009,406

Collatz Trajectory (261 steps to reach 1)

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

50,009,406 25,004,703 75,014,110 37,507,055 112,521,166 56,260,583 168,781,750 84,390,875 253,172,626 126,586,313 379,758,940 189,879,470 94,939,735 284,819,206 142,409,603 427,228,810 213,614,405 640,843,216 320,421,608 160,210,804 80,105,402 40,052,701 120,158,104 60,079,052 30,039,526 15,019,763 45,059,290 22,529,645 67,588,936 33,794,468 16,897,234 8,448,617 25,345,852 12,672,926 6,336,463 19,009,390 9,504,695 28,514,086 14,257,043 42,771,130 21,385,565 64,156,696 32,078,348 16,039,174 8,019,587 24,058,762 12,029,381 36,088,144 18,044,072 9,022,036 4,511,018 2,255,509 6,766,528 3,383,264 1,691,632 845,816 422,908 211,454 105,727 317,182

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