2,026,297

7² × 13 × 3181

Starting at 2,026,297, the Collatz iteration reaches 1 after 197 steps. The first transition is 6078892; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 13 × 3181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,539,236

Proper Divisor Sum 512,939

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2026249 ← → #2026303

Radix Representation

Decimal	2026297
Binary	111101110101100111001 (21 bits)
Octal	0o7565471
Hexadecimal	0x1EEB39

Divisor Catalog (12)

1 7 13 49 91 637 3,181 22,267 41,353 155,869 289,471 2,026,297

Collatz Trajectory (197 steps to reach 1)

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

2,026,297 6,078,892 3,039,446 1,519,723 4,559,170 2,279,585 6,838,756 3,419,378 1,709,689 5,129,068 2,564,534 1,282,267 3,846,802 1,923,401 5,770,204 2,885,102 1,442,551 4,327,654 2,163,827 6,491,482 3,245,741 9,737,224 4,868,612 2,434,306 1,217,153 3,651,460 1,825,730 912,865 2,738,596 1,369,298 684,649 2,053,948 1,026,974 513,487 1,540,462 770,231 2,310,694 1,155,347 3,466,042 1,733,021 5,199,064 2,599,532 1,299,766 649,883 1,949,650 974,825 2,924,476 1,462,238 731,119 2,193,358 1,096,679 3,290,038 1,645,019 4,935,058 2,467,529 7,402,588 3,701,294 1,850,647 5,551,942 2,775,971

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