30,006,741

3 × 37 × 83 × 3257

30,006,741 factors as 3 × 37 × 83 × 3257. Its 16 positive divisors give a proper-divisor sum of 11,591,403, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3 × 37 × 83 × 3257

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 41,598,144

Proper Divisor Sum 11,591,403

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #30006737 ← → #30006749

Radix Representation

Decimal	30006741
Binary	1110010011101110111010101 (25 bits)
Octal	0o162356725
Hexadecimal	0x1C9DDD5

Divisor Catalog (16)

1 3 37 83 111 249 3,071 3,257 9,213 9,771 120,509 270,331 361,527 810,993 10,002,247 30,006,741

Collatz Trajectory (188 steps to reach 1)

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

30,006,741 90,020,224 45,010,112 22,505,056 11,252,528 5,626,264 2,813,132 1,406,566 703,283 2,109,850 1,054,925 3,164,776 1,582,388 791,194 395,597 1,186,792 593,396 296,698 148,349 445,048 222,524 111,262 55,631 166,894 83,447 250,342 125,171 375,514 187,757 563,272 281,636 140,818 70,409 211,228 105,614 52,807 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340 133,670 66,835 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330

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