7,106,420

2² × 5 × 355321

Starting at 7,106,420, the Collatz iteration reaches 1 after 129 steps. The first transition is 3553210; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 355321

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,923,524

Proper Divisor Sum 7,817,104

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7106419 ← → #7106423

Radix Representation

Decimal	7106420
Binary	11011000110111101110100 (23 bits)
Octal	0o33067564
Hexadecimal	0x6C6F74

Divisor Catalog (12)

1 2 4 5 10 20 355,321 710,642 1,421,284 1,776,605 3,553,210 7,106,420

Collatz Trajectory (129 steps to reach 1)

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

7,106,420 3,553,210 1,776,605 5,329,816 2,664,908 1,332,454 666,227 1,998,682 999,341 2,998,024 1,499,012 749,506 374,753 1,124,260 562,130 281,065 843,196 421,598 210,799 632,398 316,199 948,598 474,299 1,422,898 711,449 2,134,348 1,067,174 533,587 1,600,762 800,381 2,401,144 1,200,572 600,286 300,143 900,430 450,215 1,350,646 675,323 2,025,970 1,012,985 3,038,956 1,519,478 759,739 2,279,218 1,139,609 3,418,828 1,709,414 854,707 2,564,122 1,282,061 3,846,184 1,923,092 961,546 480,773 1,442,320 721,160 360,580 180,290 90,145 270,436

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