526,175

5² × 13 × 1619

526,175 factors as 5^2 × 13 × 1619. Its 12 positive divisors give a proper-divisor sum of 176,905, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 1619

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 703,080

Proper Divisor Sum 176,905

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #526159 ← → #526189

Radix Representation

Decimal	526175
Binary	10000000011101011111 (20 bits)
Octal	0o2003537
Hexadecimal	0x8075F

Divisor Catalog (12)

1 5 13 25 65 325 1,619 8,095 21,047 40,475 105,235 526,175

Collatz Trajectory (195 steps to reach 1)

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

526,175 1,578,526 789,263 2,367,790 1,183,895 3,551,686 1,775,843 5,327,530 2,663,765 7,991,296 3,995,648 1,997,824 998,912 499,456 249,728 124,864 62,432 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341

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