80,929,521

3² × 233 × 38593

80,929,521 factors as 3^2 × 233 × 38593. Its 12 positive divisors give a proper-divisor sum of 36,473,427, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 3^2 × 233 × 38593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 117,402,948

Proper Divisor Sum 36,473,427

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #80929477 ← → #80929523

Radix Representation

Decimal	80929521
Binary	100110100101110001011110001 (27 bits)
Octal	0o464561361
Hexadecimal	0x4D2E2F1

Divisor Catalog (12)

1 3 9 233 699 2,097 38,593 115,779 347,337 8,992,169 26,976,507 80,929,521

Collatz Trajectory (192 steps to reach 1)

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

80,929,521 242,788,564 121,394,282 60,697,141 182,091,424 91,045,712 45,522,856 22,761,428 11,380,714 5,690,357 17,071,072 8,535,536 4,267,768 2,133,884 1,066,942 533,471 1,600,414 800,207 2,400,622 1,200,311 3,600,934 1,800,467 5,401,402 2,700,701 8,102,104 4,051,052 2,025,526 1,012,763 3,038,290 1,519,145 4,557,436 2,278,718 1,139,359 3,418,078 1,709,039 5,127,118 2,563,559 7,690,678 3,845,339 11,536,018 5,768,009 17,304,028 8,652,014 4,326,007 12,978,022 6,489,011 19,467,034 9,733,517 29,200,552 14,600,276 7,300,138 3,650,069 10,950,208 5,475,104 2,737,552 1,368,776 684,388 342,194 171,097 513,292

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