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8,577,656

23 × 17 × 59 × 1069
Abundant Even Composite

8,577,656 factors as 2^3 × 17 × 59 × 1069. Its 32 positive divisors give a proper-divisor sum of 8,756,344, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 59 × 1069
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,334,000
Proper Divisor Sum 8,756,344
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8577631 ← → #8577671

Radix Representation

Decimal 8577656
Binary 100000101110001001111000 (24 bits)
Octal 0o40561170
Hexadecimal 0x82E278

Divisor Catalog (32)

1 2 4 8 17 34 59 68 118 136 236 472 1,003 1,069 2,006 2,138 4,012 4,276 8,024 8,552 18,173 36,346 63,071 72,692 126,142 145,384 252,284 504,568 1,072,207 2,144,414 4,288,828 8,577,656

Collatz Trajectory (75 steps to reach 1)

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

8,577,656 4,288,828 2,144,414 1,072,207 3,216,622 1,608,311 4,824,934 2,412,467 7,237,402 3,618,701 10,856,104 5,428,052 2,714,026 1,357,013 4,071,040 2,035,520 1,017,760 508,880 254,440 127,220 63,610 31,805 95,416 47,708 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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