λ
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Atlas › Integer Profiles › Node 50,814,944

50,814,944

25 × 67 × 137 × 173
Abundant Even Composite

50,814,944 factors as 2^5 × 67 × 137 × 173. Its 48 positive divisors give a proper-divisor sum of 52,052,464, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^5 × 67 × 137 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 102,867,408
Proper Divisor Sum 52,052,464
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #50814937 ← → #50814961

Radix Representation

Decimal 50814944
Binary 11000001110101111111100000 (26 bits)
Octal 0o301657740
Hexadecimal 0x3075FE0

Divisor Catalog (48)

1 2 4 8 16 32 67 134 137 173 268 274 346 536 548 692 1,072 1,096 1,384 2,144 2,192 2,768 4,384 5,536 9,179 11,591 18,358 23,182 23,701 36,716 46,364 47,402 73,432 92,728 94,804 146,864 185,456 189,608 293,728 370,912 379,216 758,432 1,587,967 3,175,934 6,351,868 12,703,736 25,407,472 50,814,944

Collatz Trajectory (150 steps to reach 1)

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

50,814,944 25,407,472 12,703,736 6,351,868 3,175,934 1,587,967 4,763,902 2,381,951 7,145,854 3,572,927 10,718,782 5,359,391 16,078,174 8,039,087 24,117,262 12,058,631 36,175,894 18,087,947 54,263,842 27,131,921 81,395,764 40,697,882 20,348,941 61,046,824 30,523,412 15,261,706 7,630,853 22,892,560 11,446,280 5,723,140 2,861,570 1,430,785 4,292,356 2,146,178 1,073,089 3,219,268 1,609,634 804,817 2,414,452 1,207,226 603,613 1,810,840 905,420 452,710 226,355 679,066 339,533 1,018,600 509,300 254,650 127,325 381,976 190,988 95,494 47,747 143,242 71,621 214,864 107,432 53,716

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