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17,546,752

29 × 43 × 797
Abundant Even Composite

17,546,752 factors as 2^9 × 43 × 797. Its 40 positive divisors give a proper-divisor sum of 18,372,824, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^9 × 43 × 797
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 35,919,576
Proper Divisor Sum 18,372,824
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #17546743 ← → #17546761

Radix Representation

Decimal 17546752
Binary 1000010111011111000000000 (25 bits)
Octal 0o102737000
Hexadecimal 0x10BBE00

Divisor Catalog (40)

1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 797 1,376 1,594 2,752 3,188 5,504 6,376 11,008 12,752 22,016 25,504 34,271 51,008 68,542 102,016 137,084 204,032 274,168 408,064 548,336 1,096,672 2,193,344 4,386,688 8,773,376 17,546,752

Collatz Trajectory (63 steps to reach 1)

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

17,546,752 8,773,376 4,386,688 2,193,344 1,096,672 548,336 274,168 137,084 68,542 34,271 102,814 51,407 154,222 77,111 231,334 115,667 347,002 173,501 520,504 260,252 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16

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