17,513,675

5² × 401 × 1747

17,513,675 factors as 5^2 × 401 × 1747. Its 12 positive divisors give a proper-divisor sum of 4,269,901, so this integer is deficient. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 5^2 × 401 × 1747

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 21,783,576

Proper Divisor Sum 4,269,901

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #17513663 ← → #17513707

Radix Representation

Decimal	17513675
Binary	1000010110011110011001011 (25 bits)
Octal	0o102636313
Hexadecimal	0x10B3CCB

Divisor Catalog (12)

1 5 25 401 1,747 2,005 8,735 10,025 43,675 700,547 3,502,735 17,513,675

Collatz Trajectory (213 steps to reach 1)

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

17,513,675 52,541,026 26,270,513 78,811,540 39,405,770 19,702,885 59,108,656 29,554,328 14,777,164 7,388,582 3,694,291 11,082,874 5,541,437 16,624,312 8,312,156 4,156,078 2,078,039 6,234,118 3,117,059 9,351,178 4,675,589 14,026,768 7,013,384 3,506,692 1,753,346 876,673 2,630,020 1,315,010 657,505 1,972,516 986,258 493,129 1,479,388 739,694 369,847 1,109,542 554,771 1,664,314 832,157 2,496,472 1,248,236 624,118 312,059 936,178 468,089 1,404,268 702,134 351,067 1,053,202 526,601 1,579,804 789,902 394,951 1,184,854 592,427 1,777,282 888,641 2,665,924 1,332,962 666,481

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