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17,501,624

23 × 72 × 44647
Abundant Even Composite

17,501,624 factors as 2^3 × 7^2 × 44647. Its 24 positive divisors give a proper-divisor sum of 20,672,416, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 44647
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 38,174,040
Proper Divisor Sum 20,672,416
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #17501623 ← → #17501633

Radix Representation

Decimal 17501624
Binary 1000010110000110110111000 (25 bits)
Octal 0o102606670
Hexadecimal 0x10B0DB8

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 44,647 89,294 178,588 312,529 357,176 625,058 1,250,116 2,187,703 2,500,232 4,375,406 8,750,812 17,501,624

Collatz Trajectory (182 steps to reach 1)

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

17,501,624 8,750,812 4,375,406 2,187,703 6,563,110 3,281,555 9,844,666 4,922,333 14,767,000 7,383,500 3,691,750 1,845,875 5,537,626 2,768,813 8,306,440 4,153,220 2,076,610 1,038,305 3,114,916 1,557,458 778,729 2,336,188 1,168,094 584,047 1,752,142 876,071 2,628,214 1,314,107 3,942,322 1,971,161 5,913,484 2,956,742 1,478,371 4,435,114 2,217,557 6,652,672 3,326,336 1,663,168 831,584 415,792 207,896 103,948 51,974 25,987 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514

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