3,423,675

3 × 5² × 191 × 239

Starting at 3,423,675, the Collatz iteration reaches 1 after 128 steps. The first transition is 10271026; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 191 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,713,920

Proper Divisor Sum 2,290,245

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3423661 ← → #3423677

Radix Representation

Decimal	3423675
Binary	1101000011110110111011 (22 bits)
Octal	0o15036673
Hexadecimal	0x343DBB

Divisor Catalog (24)

1 3 5 15 25 75 191 239 573 717 955 1,195 2,865 3,585 4,775 5,975 14,325 17,925 45,649 136,947 228,245 684,735 1,141,225 3,423,675

Collatz Trajectory (128 steps to reach 1)

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

3,423,675 10,271,026 5,135,513 15,406,540 7,703,270 3,851,635 11,554,906 5,777,453 17,332,360 8,666,180 4,333,090 2,166,545 6,499,636 3,249,818 1,624,909 4,874,728 2,437,364 1,218,682 609,341 1,828,024 914,012 457,006 228,503 685,510 342,755 1,028,266 514,133 1,542,400 771,200 385,600 192,800 96,400 48,200 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622

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