17,350,382

2 × 7 × 19² × 3433

17,350,382 factors as 2 × 7 × 19^2 × 3433. Its 24 positive divisors give a proper-divisor sum of 14,050,114, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2 × 7 × 19^2 × 3433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 31,400,496

Proper Divisor Sum 14,050,114

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #17350367 ← → #17350391

Radix Representation

Decimal	17350382
Binary	1000010001011111011101110 (25 bits)
Octal	0o102137356
Hexadecimal	0x108BEEE

Divisor Catalog (24)

Collatz Trajectory (120 steps to reach 1)

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

17,350,382 8,675,191 26,025,574 13,012,787 39,038,362 19,519,181 58,557,544 29,278,772 14,639,386 7,319,693 21,959,080 10,979,540 5,489,770 2,744,885 8,234,656 4,117,328 2,058,664 1,029,332 514,666 257,333 772,000 386,000 193,000 96,500 48,250 24,125 72,376 36,188 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059

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