8,242,025

5² × 11 × 17 × 41 × 43

8,242,025 has the prime decomposition 5^2 × 11 × 17 × 41 × 43. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 11 × 17 × 41 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,374,208

Proper Divisor Sum 4,132,183

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8242021 ← → #8242037

Radix Representation

Decimal	8242025
Binary	11111011100001101101001 (23 bits)
Octal	0o37341551
Hexadecimal	0x7DC369

Divisor Catalog (48)

1 5 11 17 25 41 43 55 85 187 205 215 275 425 451 473 697 731 935 1,025 1,075 1,763 2,255 2,365 3,485 3,655 4,675 7,667 8,041 8,815 11,275 11,825 17,425 18,275 19,393 29,971 38,335 40,205 44,075 96,965 149,855 191,675 201,025 329,681 484,825 749,275 1,648,405 8,242,025

Collatz Trajectory (274 steps to reach 1)

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

8,242,025 24,726,076 12,363,038 6,181,519 18,544,558 9,272,279 27,816,838 13,908,419 41,725,258 20,862,629 62,587,888 31,293,944 15,646,972 7,823,486 3,911,743 11,735,230 5,867,615 17,602,846 8,801,423 26,404,270 13,202,135 39,606,406 19,803,203 59,409,610 29,704,805 89,114,416 44,557,208 22,278,604 11,139,302 5,569,651 16,708,954 8,354,477 25,063,432 12,531,716 6,265,858 3,132,929 9,398,788 4,699,394 2,349,697 7,049,092 3,524,546 1,762,273 5,286,820 2,643,410 1,321,705 3,965,116 1,982,558 991,279 2,973,838 1,486,919 4,460,758 2,230,379 6,691,138 3,345,569 10,036,708 5,018,354 2,509,177 7,527,532 3,763,766 1,881,883

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