2,129,225

5² × 7 × 23³

2,129,225 has the prime decomposition 5^2 × 7 × 23^3. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 23^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,154,560

Proper Divisor Sum 1,025,335

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2129221 ← → #2129227

Radix Representation

Decimal	2129225
Binary	1000000111110101001001 (22 bits)
Octal	0o10076511
Hexadecimal	0x207D49

Divisor Catalog (24)

1 5 7 23 25 35 115 161 175 529 575 805 2,645 3,703 4,025 12,167 13,225 18,515 60,835 85,169 92,575 304,175 425,845 2,129,225

Collatz Trajectory (96 steps to reach 1)

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

2,129,225 6,387,676 3,193,838 1,596,919 4,790,758 2,395,379 7,186,138 3,593,069 10,779,208 5,389,604 2,694,802 1,347,401 4,042,204 2,021,102 1,010,551 3,031,654 1,515,827 4,547,482 2,273,741 6,821,224 3,410,612 1,705,306 852,653 2,557,960 1,278,980 639,490 319,745 959,236 479,618 239,809 719,428 359,714 179,857 539,572 269,786 134,893 404,680 202,340 101,170 50,585 151,756 75,878 37,939 113,818 56,909 170,728 85,364 42,682 21,341 64,024 32,012 16,006 8,003 24,010 12,005 36,016 18,008 9,004 4,502 2,251

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