17,506,175

5² × 17² × 2423

17,506,175 factors as 5^2 × 17^2 × 2423. Its 18 positive divisors give a proper-divisor sum of 5,563,033, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 5^2 × 17^2 × 2423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 23,069,208

Proper Divisor Sum 5,563,033

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #17506157 ← → #17506187

Radix Representation

Decimal	17506175
Binary	1000010110001111101111111 (25 bits)
Octal	0o102617577
Hexadecimal	0x10B1F7F

Divisor Catalog (18)

1 5 17 25 85 289 425 1,445 2,423 7,225 12,115 41,191 60,575 205,955 700,247 1,029,775 3,501,235 17,506,175

Collatz Trajectory (244 steps to reach 1)

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

17,506,175 52,518,526 26,259,263 78,777,790 39,388,895 118,166,686 59,083,343 177,250,030 88,625,015 265,875,046 132,937,523 398,812,570 199,406,285 598,218,856 299,109,428 149,554,714 74,777,357 224,332,072 112,166,036 56,083,018 28,041,509 84,124,528 42,062,264 21,031,132 10,515,566 5,257,783 15,773,350 7,886,675 23,660,026 11,830,013 35,490,040 17,745,020 8,872,510 4,436,255 13,308,766 6,654,383 19,963,150 9,981,575 29,944,726 14,972,363 44,917,090 22,458,545 67,375,636 33,687,818 16,843,909 50,531,728 25,265,864 12,632,932 6,316,466 3,158,233 9,474,700 4,737,350 2,368,675 7,106,026 3,553,013 10,659,040 5,329,520 2,664,760 1,332,380 666,190

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