80,510,650

2 × 5² × 11 × 146383

80,510,650 factors as 2 × 5^2 × 11 × 146383. Its 24 positive divisors give a proper-divisor sum of 82,853,894, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 146383

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 163,364,544

Proper Divisor Sum 82,853,894

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #80510609 ← → #80510669

Radix Representation

Decimal	80510650
Binary	100110011000111111010111010 (27 bits)
Octal	0o463077272
Hexadecimal	0x4CC7EBA

Divisor Catalog (24)

Collatz Trajectory (223 steps to reach 1)

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

80,510,650 40,255,325 120,765,976 60,382,988 30,191,494 15,095,747 45,287,242 22,643,621 67,930,864 33,965,432 16,982,716 8,491,358 4,245,679 12,737,038 6,368,519 19,105,558 9,552,779 28,658,338 14,329,169 42,987,508 21,493,754 10,746,877 32,240,632 16,120,316 8,060,158 4,030,079 12,090,238 6,045,119 18,135,358 9,067,679 27,203,038 13,601,519 40,804,558 20,402,279 61,206,838 30,603,419 91,810,258 45,905,129 137,715,388 68,857,694 34,428,847 103,286,542 51,643,271 154,929,814 77,464,907 232,394,722 116,197,361 348,592,084 174,296,042 87,148,021 261,444,064 130,722,032 65,361,016 32,680,508 16,340,254 8,170,127 24,510,382 12,255,191 36,765,574 18,382,787

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