λ
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Atlas › Integer Profiles › Node 51,594,730

51,594,730

2 × 5 × 11 × 199 × 2357
Deficient Even Composite

51,594,730 factors as 2 × 5 × 11 × 199 × 2357. Its 32 positive divisors give a proper-divisor sum of 50,270,870, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 199 × 2357
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 101,865,600
Proper Divisor Sum 50,270,870
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #51594713 ← → #51594749

Radix Representation

Decimal 51594730
Binary 11000100110100010111101010 (26 bits)
Octal 0o304642752
Hexadecimal 0x31345EA

Divisor Catalog (32)

1 2 5 10 11 22 55 110 199 398 995 1,990 2,189 2,357 4,378 4,714 10,945 11,785 21,890 23,570 25,927 51,854 129,635 259,270 469,043 938,086 2,345,215 4,690,430 5,159,473 10,318,946 25,797,365 51,594,730

Collatz Trajectory (212 steps to reach 1)

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

51,594,730 25,797,365 77,392,096 38,696,048 19,348,024 9,674,012 4,837,006 2,418,503 7,255,510 3,627,755 10,883,266 5,441,633 16,324,900 8,162,450 4,081,225 12,243,676 6,121,838 3,060,919 9,182,758 4,591,379 13,774,138 6,887,069 20,661,208 10,330,604 5,165,302 2,582,651 7,747,954 3,873,977 11,621,932 5,810,966 2,905,483 8,716,450 4,358,225 13,074,676 6,537,338 3,268,669 9,806,008 4,903,004 2,451,502 1,225,751 3,677,254 1,838,627 5,515,882 2,757,941 8,273,824 4,136,912 2,068,456 1,034,228 517,114 258,557 775,672 387,836 193,918 96,959 290,878 145,439 436,318 218,159 654,478 327,239

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