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Atlas › Integer Profiles › Node 82,809,652

82,809,652

22 × 17 × 683 × 1783
Deficient Even Composite

82,809,652 factors as 2^2 × 17 × 683 × 1783. Its 24 positive divisors give a proper-divisor sum of 70,942,604, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 683 × 1783
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 153,752,256
Proper Divisor Sum 70,942,604
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #82809647 ← → #82809653

Radix Representation

Decimal 82809652
Binary 100111011111001001100110100 (27 bits)
Octal 0o473711464
Hexadecimal 0x4EF9334

Divisor Catalog (24)

1 2 4 17 34 68 683 1,366 1,783 2,732 3,566 7,132 11,611 23,222 30,311 46,444 60,622 121,244 1,217,789 2,435,578 4,871,156 20,702,413 41,404,826 82,809,652

Collatz Trajectory (192 steps to reach 1)

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

82,809,652 41,404,826 20,702,413 62,107,240 31,053,620 15,526,810 7,763,405 23,290,216 11,645,108 5,822,554 2,911,277 8,733,832 4,366,916 2,183,458 1,091,729 3,275,188 1,637,594 818,797 2,456,392 1,228,196 614,098 307,049 921,148 460,574 230,287 690,862 345,431 1,036,294 518,147 1,554,442 777,221 2,331,664 1,165,832 582,916 291,458 145,729 437,188 218,594 109,297 327,892 163,946 81,973 245,920 122,960 61,480 30,740 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434

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