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Math Directory

8,453,304

23 × 32 × 113 × 1039
Abundant Even Composite

8,453,304 factors as 2^3 × 3^2 × 113 × 1039. Its 48 positive divisors give a proper-divisor sum of 14,665,896, so this integer is abundant. The Collatz stopping time is 49 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 113 × 1039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,119,200
Proper Divisor Sum 14,665,896
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8453281 ← → #8453317

Radix Representation

Decimal 8453304
Binary 100000001111110010111000 (24 bits)
Octal 0o40176270
Hexadecimal 0x80FCB8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 678 904 1,017 1,039 1,356 2,034 2,078 2,712 3,117 4,068 4,156 6,234 8,136 8,312 9,351 12,468 18,702 24,936 37,404 74,808 117,407 234,814 352,221 469,628 704,442 939,256 1,056,663 1,408,884 2,113,326 2,817,768 4,226,652 8,453,304

Collatz Trajectory (49 steps to reach 1)

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

8,453,304 4,226,652 2,113,326 1,056,663 3,169,990 1,584,995 4,754,986 2,377,493 7,132,480 3,566,240 1,783,120 891,560 445,780 222,890 111,445 334,336 167,168 83,584 41,792 20,896 10,448 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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