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17,520,352

25 × 601 × 911
Deficient Even Composite

17,520,352 factors as 2^5 × 601 × 911. Its 24 positive divisors give a proper-divisor sum of 17,068,160, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^5 × 601 × 911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 34,588,512
Proper Divisor Sum 17,068,160
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17520343 ← → #17520367

Radix Representation

Decimal 17520352
Binary 1000010110101011011100000 (25 bits)
Octal 0o102653340
Hexadecimal 0x10B56E0

Divisor Catalog (24)

1 2 4 8 16 32 601 911 1,202 1,822 2,404 3,644 4,808 7,288 9,616 14,576 19,232 29,152 547,511 1,095,022 2,190,044 4,380,088 8,760,176 17,520,352

Collatz Trajectory (89 steps to reach 1)

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

17,520,352 8,760,176 4,380,088 2,190,044 1,095,022 547,511 1,642,534 821,267 2,463,802 1,231,901 3,695,704 1,847,852 923,926 461,963 1,385,890 692,945 2,078,836 1,039,418 519,709 1,559,128 779,564 389,782 194,891 584,674 292,337 877,012 438,506 219,253 657,760 328,880 164,440 82,220 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

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