29,965,030

2 × 5 × 61 × 49123

29,965,030 factors as 2 × 5 × 61 × 49123. Its 16 positive divisors give a proper-divisor sum of 24,857,354, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2 × 5 × 61 × 49123

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 54,822,384

Proper Divisor Sum 24,857,354

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #29965027 ← → #29965031

Radix Representation

Decimal	29965030
Binary	1110010010011101011100110 (25 bits)
Octal	0o162235346
Hexadecimal	0x1C93AE6

Divisor Catalog (16)

1 2 5 10 61 122 305 610 49,123 98,246 245,615 491,230 2,996,503 5,993,006 14,982,515 29,965,030

Collatz Trajectory (188 steps to reach 1)

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

29,965,030 14,982,515 44,947,546 22,473,773 67,421,320 33,710,660 16,855,330 8,427,665 25,282,996 12,641,498 6,320,749 18,962,248 9,481,124 4,740,562 2,370,281 7,110,844 3,555,422 1,777,711 5,333,134 2,666,567 7,999,702 3,999,851 11,999,554 5,999,777 17,999,332 8,999,666 4,499,833 13,499,500 6,749,750 3,374,875 10,124,626 5,062,313 15,186,940 7,593,470 3,796,735 11,390,206 5,695,103 17,085,310 8,542,655 25,627,966 12,813,983 38,441,950 19,220,975 57,662,926 28,831,463 86,494,390 43,247,195 129,741,586 64,870,793 194,612,380 97,306,190 48,653,095 145,959,286 72,979,643 218,938,930 109,469,465 328,408,396 164,204,198 82,102,099 246,306,298

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