17,528,275

5² × 17 × 41243

17,528,275 factors as 5^2 × 17 × 41243. Its 12 positive divisors give a proper-divisor sum of 5,485,877, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 5^2 × 17 × 41243

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 23,014,152

Proper Divisor Sum 5,485,877

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #17528243 ← → #17528281

Radix Representation

Decimal	17528275
Binary	1000010110111010111010011 (25 bits)
Octal	0o102672723
Hexadecimal	0x10B75D3

Divisor Catalog (12)

1 5 17 25 85 425 41,243 206,215 701,131 1,031,075 3,505,655 17,528,275

Collatz Trajectory (156 steps to reach 1)

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

17,528,275 52,584,826 26,292,413 78,877,240 39,438,620 19,719,310 9,859,655 29,578,966 14,789,483 44,368,450 22,184,225 66,552,676 33,276,338 16,638,169 49,914,508 24,957,254 12,478,627 37,435,882 18,717,941 56,153,824 28,076,912 14,038,456 7,019,228 3,509,614 1,754,807 5,264,422 2,632,211 7,896,634 3,948,317 11,844,952 5,922,476 2,961,238 1,480,619 4,441,858 2,220,929 6,662,788 3,331,394 1,665,697 4,997,092 2,498,546 1,249,273 3,747,820 1,873,910 936,955 2,810,866 1,405,433 4,216,300 2,108,150 1,054,075 3,162,226 1,581,113 4,743,340 2,371,670 1,185,835 3,557,506 1,778,753 5,336,260 2,668,130 1,334,065 4,002,196

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