8,553,025

5² × 13 × 26317

8,553,025 factors as 5^2 × 13 × 26317. Its 12 positive divisors give a proper-divisor sum of 2,868,987, so this integer is deficient. The Collatz stopping time is 305 steps.

Prime Factor Structure

Factorization String 5^2 × 13 × 26317

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,422,012

Proper Divisor Sum 2,868,987

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8553007 ← → #8553029

Radix Representation

Decimal	8553025
Binary	100000101000001001000001 (24 bits)
Octal	0o40501101
Hexadecimal	0x828241

Divisor Catalog (12)

1 5 13 25 65 325 26,317 131,585 342,121 657,925 1,710,605 8,553,025

Collatz Trajectory (305 steps to reach 1)

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

8,553,025 25,659,076 12,829,538 6,414,769 19,244,308 9,622,154 4,811,077 14,433,232 7,216,616 3,608,308 1,804,154 902,077 2,706,232 1,353,116 676,558 338,279 1,014,838 507,419 1,522,258 761,129 2,283,388 1,141,694 570,847 1,712,542 856,271 2,568,814 1,284,407 3,853,222 1,926,611 5,779,834 2,889,917 8,669,752 4,334,876 2,167,438 1,083,719 3,251,158 1,625,579 4,876,738 2,438,369 7,315,108 3,657,554 1,828,777 5,486,332 2,743,166 1,371,583 4,114,750 2,057,375 6,172,126 3,086,063 9,258,190 4,629,095 13,887,286 6,943,643 20,830,930 10,415,465 31,246,396 15,623,198 7,811,599 23,434,798 11,717,399

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