17,469,750

2 × 3 × 5³ × 23293

17,469,750 factors as 2 × 3 × 5^3 × 23293. Its 32 positive divisors give a proper-divisor sum of 26,136,618, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 23293

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 43,606,368

Proper Divisor Sum 26,136,618

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #17469733 ← → #17469787

Radix Representation

Decimal	17469750
Binary	1000010101001000100110110 (25 bits)
Octal	0o102510466
Hexadecimal	0x10A9136

Divisor Catalog (32)

Collatz Trajectory (200 steps to reach 1)

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

17,469,750 8,734,875 26,204,626 13,102,313 39,306,940 19,653,470 9,826,735 29,480,206 14,740,103 44,220,310 22,110,155 66,330,466 33,165,233 99,495,700 49,747,850 24,873,925 74,621,776 37,310,888 18,655,444 9,327,722 4,663,861 13,991,584 6,995,792 3,497,896 1,748,948 874,474 437,237 1,311,712 655,856 327,928 163,964 81,982 40,991 122,974 61,487 184,462 92,231 276,694 138,347 415,042 207,521 622,564 311,282 155,641 466,924 233,462 116,731 350,194 175,097 525,292 262,646 131,323 393,970 196,985 590,956 295,478 147,739 443,218 221,609 664,828

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