λ
Ratio Atlas

50,644,763

13 × 1823 × 2137
Deficient Odd Composite

50,644,763 factors as 13 × 1823 × 2137. Its 8 positive divisors give a proper-divisor sum of 3,951,205, so this integer is deficient. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 13 × 1823 × 2137
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 54,595,968
Proper Divisor Sum 3,951,205
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #50644753 ← → #50644771

Radix Representation

Decimal 50644763
Binary 11000001001100011100011011 (26 bits)
Octal 0o301143433
Hexadecimal 0x304C71B

Divisor Catalog (8)

Collatz Trajectory (274 steps to reach 1)

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

50,644,763 151,934,290 75,967,145 227,901,436 113,950,718 56,975,359 170,926,078 85,463,039 256,389,118 128,194,559 384,583,678 192,291,839 576,875,518 288,437,759 865,313,278 432,656,639 1,297,969,918 648,984,959 1,946,954,878 973,477,439 2,920,432,318 1,460,216,159 4,380,648,478 2,190,324,239 6,570,972,718 3,285,486,359 9,856,459,078 4,928,229,539 14,784,688,618 7,392,344,309 22,177,032,928 11,088,516,464 5,544,258,232 2,772,129,116 1,386,064,558 693,032,279 2,079,096,838 1,039,548,419 3,118,645,258 1,559,322,629 4,677,967,888 2,338,983,944 1,169,491,972 584,745,986 292,372,993 877,118,980 438,559,490 219,279,745 657,839,236 328,919,618 164,459,809 493,379,428 246,689,714 123,344,857 370,034,572 185,017,286 92,508,643 277,525,930 138,762,965 416,288,896

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