17,526,525

3 × 5² × 233687

17,526,525 factors as 3 × 5^2 × 233687. Its 12 positive divisors give a proper-divisor sum of 11,450,787, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 233687

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 28,977,312

Proper Divisor Sum 11,450,787

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #17526479 ← → #17526559

Radix Representation

Decimal	17526525
Binary	1000010110110111011111101 (25 bits)
Octal	0o102667375
Hexadecimal	0x10B6EFD

Divisor Catalog (12)

1 3 5 15 25 75 233,687 701,061 1,168,435 3,505,305 5,842,175 17,526,525

Collatz Trajectory (200 steps to reach 1)

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

17,526,525 52,579,576 26,289,788 13,144,894 6,572,447 19,717,342 9,858,671 29,576,014 14,788,007 44,364,022 22,182,011 66,546,034 33,273,017 99,819,052 49,909,526 24,954,763 74,864,290 37,432,145 112,296,436 56,148,218 28,074,109 84,222,328 42,111,164 21,055,582 10,527,791 31,583,374 15,791,687 47,375,062 23,687,531 71,062,594 35,531,297 106,593,892 53,296,946 26,648,473 79,945,420 39,972,710 19,986,355 59,959,066 29,979,533 89,938,600 44,969,300 22,484,650 11,242,325 33,726,976 16,863,488 8,431,744 4,215,872 2,107,936 1,053,968 526,984 263,492 131,746 65,873 197,620 98,810 49,405 148,216 74,108 37,054 18,527

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