λ
Sequence Observatory

3,706,242

2 × 3 × 617707
Abundant Even Composite

Starting at 3,706,242, the Collatz iteration reaches 1 after 172 steps. The first transition is 1853121; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 617707
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,412,496
Proper Divisor Sum 3,706,254
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3706201 ← → #3706247

Radix Representation

Decimal 3706242
Binary 1110001000110110000010 (22 bits)
Octal 0o16106602
Hexadecimal 0x388D82

Divisor Catalog (8)

1 2 3 6 617,707 1,235,414 1,853,121 3,706,242

Collatz Trajectory (172 steps to reach 1)

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

3,706,242 1,853,121 5,559,364 2,779,682 1,389,841 4,169,524 2,084,762 1,042,381 3,127,144 1,563,572 781,786 390,893 1,172,680 586,340 293,170 146,585 439,756 219,878 109,939 329,818 164,909 494,728 247,364 123,682 61,841 185,524 92,762 46,381 139,144 69,572 34,786 17,393 52,180 26,090 13,045 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109

More profiles

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