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Atlas › Integer Profiles › Node 83,028,280

83,028,280

23 × 5 × 41 × 50627
Abundant Even Composite

83,028,280 factors as 2^3 × 5 × 41 × 50627. Its 32 positive divisors give a proper-divisor sum of 108,345,560, so this integer is abundant. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 50627
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 191,373,840
Proper Divisor Sum 108,345,560
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #83028251 ← → #83028293

Radix Representation

Decimal 83028280
Binary 100111100101110100100111000 (27 bits)
Octal 0o474564470
Hexadecimal 0x4F2E938

Divisor Catalog (32)

1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1,640 50,627 101,254 202,508 253,135 405,016 506,270 1,012,540 2,025,080 2,075,707 4,151,414 8,302,828 10,378,535 16,605,656 20,757,070 41,514,140 83,028,280

Collatz Trajectory (192 steps to reach 1)

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

83,028,280 41,514,140 20,757,070 10,378,535 31,135,606 15,567,803 46,703,410 23,351,705 70,055,116 35,027,558 17,513,779 52,541,338 26,270,669 78,812,008 39,406,004 19,703,002 9,851,501 29,554,504 14,777,252 7,388,626 3,694,313 11,082,940 5,541,470 2,770,735 8,312,206 4,156,103 12,468,310 6,234,155 18,702,466 9,351,233 28,053,700 14,026,850 7,013,425 21,040,276 10,520,138 5,260,069 15,780,208 7,890,104 3,945,052 1,972,526 986,263 2,958,790 1,479,395 4,438,186 2,219,093 6,657,280 3,328,640 1,664,320 832,160 416,080 208,040 104,020 52,010 26,005 78,016 39,008 19,504 9,752 4,876 2,438

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