8,080,992

2⁵ × 3³ × 47 × 199

8,080,992 factors as 2^5 × 3^3 × 47 × 199. Its 96 positive divisors give a proper-divisor sum of 16,111,008, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 47 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 24,192,000

Proper Divisor Sum 16,111,008

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8080957 ← → #8080993

Radix Representation

Decimal	8080992
Binary	11110110100111001100000 (23 bits)
Octal	0o36647140
Hexadecimal	0x7B4E60

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 199 216 282 288 376 398 423 432 564 597 752 796 846 864 1,128 1,194 1,269 1,504 1,592 1,692 1,791 2,256 2,388 2,538 3,184 3,384 3,582 4,512 4,776 5,076 5,373 6,368 6,768 7,164 9,353 9,552

Collatz Trajectory (230 steps to reach 1)

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

8,080,992 4,040,496 2,020,248 1,010,124 505,062 252,531 757,594 378,797 1,136,392 568,196 284,098 142,049 426,148 213,074 106,537 319,612 159,806 79,903 239,710 119,855 359,566 179,783 539,350 269,675 809,026 404,513 1,213,540 606,770 303,385 910,156 455,078 227,539 682,618 341,309 1,023,928 511,964 255,982 127,991 383,974 191,987 575,962 287,981 863,944 431,972 215,986 107,993 323,980 161,990 80,995 242,986 121,493 364,480 182,240 91,120 45,560 22,780 11,390 5,695 17,086 8,543

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