2,530,050

2 × 3 × 5² × 101 × 167

Starting at 2,530,050, the Collatz iteration reaches 1 after 104 steps. The first transition is 1265025; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 101 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,374,592

Proper Divisor Sum 3,844,542

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2530049 ← → #2530063

Radix Representation

Decimal	2530050
Binary	1001101001101100000010 (22 bits)
Octal	0o11515402
Hexadecimal	0x269B02

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 75 101 150 167 202 303 334 501 505 606 835 1,002 1,010 1,515 1,670 2,505 2,525 3,030 4,175 5,010 5,050 7,575 8,350 12,525 15,150 16,867 25,050 33,734 50,601 84,335 101,202 168,670 253,005 421,675 506,010 843,350 1,265,025 2,530,050

Collatz Trajectory (104 steps to reach 1)

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

2,530,050 1,265,025 3,795,076 1,897,538 948,769 2,846,308 1,423,154 711,577 2,134,732 1,067,366 533,683 1,601,050 800,525 2,401,576 1,200,788 600,394 300,197 900,592 450,296 225,148 112,574 56,287 168,862 84,431 253,294 126,647 379,942 189,971 569,914 284,957 854,872 427,436 213,718 106,859 320,578 160,289 480,868 240,434 120,217 360,652 180,326 90,163 270,490 135,245 405,736 202,868 101,434 50,717 152,152 76,076 38,038 19,019 57,058 28,529 85,588 42,794 21,397 64,192 32,096 16,048

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