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Atlas › Integer Profiles › Node 80,243,744

80,243,744

25 × 7 × 337 × 1063
Abundant Even Composite

80,243,744 factors as 2^5 × 7 × 337 × 1063. Its 48 positive divisors give a proper-divisor sum of 101,010,784, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 337 × 1063
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 181,254,528
Proper Divisor Sum 101,010,784
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #80243741 ← → #80243767

Radix Representation

Decimal 80243744
Binary 100110010000110110000100000 (27 bits)
Octal 0o462066040
Hexadecimal 0x4C86C20

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 112 224 337 674 1,063 1,348 2,126 2,359 2,696 4,252 4,718 5,392 7,441 8,504 9,436 10,784 14,882 17,008 18,872 29,764 34,016 37,744 59,528 75,488 119,056 238,112 358,231 716,462 1,432,924 2,507,617 2,865,848 5,015,234 5,731,696 10,030,468 11,463,392 20,060,936 40,121,872 80,243,744

Collatz Trajectory (166 steps to reach 1)

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

80,243,744 40,121,872 20,060,936 10,030,468 5,015,234 2,507,617 7,522,852 3,761,426 1,880,713 5,642,140 2,821,070 1,410,535 4,231,606 2,115,803 6,347,410 3,173,705 9,521,116 4,760,558 2,380,279 7,140,838 3,570,419 10,711,258 5,355,629 16,066,888 8,033,444 4,016,722 2,008,361 6,025,084 3,012,542 1,506,271 4,518,814 2,259,407 6,778,222 3,389,111 10,167,334 5,083,667 15,251,002 7,625,501 22,876,504 11,438,252 5,719,126 2,859,563 8,578,690 4,289,345 12,868,036 6,434,018 3,217,009 9,651,028 4,825,514 2,412,757 7,238,272 3,619,136 1,809,568 904,784 452,392 226,196 113,098 56,549 169,648 84,824

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