17,524,364

2² × 11 × 13 × 30637

17,524,364 factors as 2^2 × 11 × 13 × 30637. Its 24 positive divisors give a proper-divisor sum of 18,505,924, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 30637

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 36,030,288

Proper Divisor Sum 18,505,924

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #17524363 ← → #17524387

Radix Representation

Decimal	17524364
Binary	1000010110110011010001100 (25 bits)
Octal	0o102663214
Hexadecimal	0x10B668C

Divisor Catalog (24)

Collatz Trajectory (200 steps to reach 1)

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

17,524,364 8,762,182 4,381,091 13,143,274 6,571,637 19,714,912 9,857,456 4,928,728 2,464,364 1,232,182 616,091 1,848,274 924,137 2,772,412 1,386,206 693,103 2,079,310 1,039,655 3,118,966 1,559,483 4,678,450 2,339,225 7,017,676 3,508,838 1,754,419 5,263,258 2,631,629 7,894,888 3,947,444 1,973,722 986,861 2,960,584 1,480,292 740,146 370,073 1,110,220 555,110 277,555 832,666 416,333 1,249,000 624,500 312,250 156,125 468,376 234,188 117,094 58,547 175,642 87,821 263,464 131,732 65,866 32,933 98,800 49,400 24,700 12,350 6,175 18,526

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