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Atlas › Integer Profiles › Node 80,945,728

80,945,728

26 × 29 × 43613
Abundant Even Composite

80,945,728 factors as 2^6 × 29 × 43613. Its 28 positive divisors give a proper-divisor sum of 85,223,612, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2^6 × 29 × 43613
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 166,169,340
Proper Divisor Sum 85,223,612
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #80945723 ← → #80945729

Radix Representation

Decimal 80945728
Binary 100110100110010001001000000 (27 bits)
Octal 0o464621100
Hexadecimal 0x4D32240

Divisor Catalog (28)

1 2 4 8 16 29 32 58 64 116 232 464 928 1,856 43,613 87,226 174,452 348,904 697,808 1,264,777 1,395,616 2,529,554 2,791,232 5,059,108 10,118,216 20,236,432 40,472,864 80,945,728

Collatz Trajectory (210 steps to reach 1)

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

80,945,728 40,472,864 20,236,432 10,118,216 5,059,108 2,529,554 1,264,777 3,794,332 1,897,166 948,583 2,845,750 1,422,875 4,268,626 2,134,313 6,402,940 3,201,470 1,600,735 4,802,206 2,401,103 7,203,310 3,601,655 10,804,966 5,402,483 16,207,450 8,103,725 24,311,176 12,155,588 6,077,794 3,038,897 9,116,692 4,558,346 2,279,173 6,837,520 3,418,760 1,709,380 854,690 427,345 1,282,036 641,018 320,509 961,528 480,764 240,382 120,191 360,574 180,287 540,862 270,431 811,294 405,647 1,216,942 608,471 1,825,414 912,707 2,738,122 1,369,061 4,107,184 2,053,592 1,026,796 513,398

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