8,581,625

5³ × 13 × 5281

8,581,625 factors as 5^3 × 13 × 5281. Its 16 positive divisors give a proper-divisor sum of 2,954,263, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 5^3 × 13 × 5281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,535,888

Proper Divisor Sum 2,954,263

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8581621 ← → #8581631

Radix Representation

Decimal	8581625
Binary	100000101111000111111001 (24 bits)
Octal	0o40570771
Hexadecimal	0x82F1F9

Divisor Catalog (16)

1 5 13 25 65 125 325 1,625 5,281 26,405 68,653 132,025 343,265 660,125 1,716,325 8,581,625

Collatz Trajectory (181 steps to reach 1)

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

8,581,625 25,744,876 12,872,438 6,436,219 19,308,658 9,654,329 28,962,988 14,481,494 7,240,747 21,722,242 10,861,121 32,583,364 16,291,682 8,145,841 24,437,524 12,218,762 6,109,381 18,328,144 9,164,072 4,582,036 2,291,018 1,145,509 3,436,528 1,718,264 859,132 429,566 214,783 644,350 322,175 966,526 483,263 1,449,790 724,895 2,174,686 1,087,343 3,262,030 1,631,015 4,893,046 2,446,523 7,339,570 3,669,785 11,009,356 5,504,678 2,752,339 8,257,018 4,128,509 12,385,528 6,192,764 3,096,382 1,548,191 4,644,574 2,322,287 6,966,862 3,483,431 10,450,294 5,225,147 15,675,442 7,837,721 23,513,164 11,756,582

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