4,340,106

2 × 3² × 241117

Starting at 4,340,106, the Collatz iteration reaches 1 after 66 steps. The first transition is 2170053; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 241117

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,403,602

Proper Divisor Sum 5,063,496

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4340087 ← → #4340131

Radix Representation

Decimal	4340106
Binary	10000100011100110001010 (23 bits)
Octal	0o20434612
Hexadecimal	0x42398A

Divisor Catalog (12)

1 2 3 6 9 18 241,117 482,234 723,351 1,446,702 2,170,053 4,340,106

Collatz Trajectory (66 steps to reach 1)

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

4,340,106 2,170,053 6,510,160 3,255,080 1,627,540 813,770 406,885 1,220,656 610,328 305,164 152,582 76,291 228,874 114,437 343,312 171,656 85,828 42,914 21,457 64,372 32,186 16,093 48,280 24,140 12,070 6,035 18,106 9,053 27,160 13,580 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128

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