80,959,760

2⁴ × 5 × 7² × 19 × 1087

80,959,760 factors as 2^4 × 5 × 7^2 × 19 × 1087. Its 120 positive divisors give a proper-divisor sum of 149,739,760, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 7^2 × 19 × 1087

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 230,699,520

Proper Divisor Sum 149,739,760

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #80959759 ← → #80959771

Radix Representation

Decimal	80959760
Binary	100110100110101100100010000 (27 bits)
Octal	0o464654420
Hexadecimal	0x4D35910

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 152 190 196 245 266 280 304 380 392 490 532 560 665 760 784 931 980 1,064 1,087 1,330 1,520 1,862 1,960 2,128 2,174 2,660 3,724 3,920 4,348 4,655 5,320 5,435 7,448 7,609 8,696

Collatz Trajectory (135 steps to reach 1)

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

80,959,760 40,479,880 20,239,940 10,119,970 5,059,985 15,179,956 7,589,978 3,794,989 11,384,968 5,692,484 2,846,242 1,423,121 4,269,364 2,134,682 1,067,341 3,202,024 1,601,012 800,506 400,253 1,200,760 600,380 300,190 150,095 450,286 225,143 675,430 337,715 1,013,146 506,573 1,519,720 759,860 379,930 189,965 569,896 284,948 142,474 71,237 213,712 106,856 53,428 26,714 13,357 40,072 20,036 10,018 5,009 15,028 7,514 3,757 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380

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