λ
Sequence Observatory

3,625,868

22 × 577 × 1571
Deficient Even Composite

Starting at 3,625,868, the Collatz iteration reaches 1 after 110 steps. The first transition is 1812934; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 577 × 1571
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,360,312
Proper Divisor Sum 2,734,444
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3625859 ← → #3625873

Radix Representation

Decimal 3625868
Binary 1101110101001110001100 (22 bits)
Octal 0o15651614
Hexadecimal 0x37538C

Divisor Catalog (12)

1 2 4 577 1,154 1,571 2,308 3,142 6,284 906,467 1,812,934 3,625,868

Collatz Trajectory (110 steps to reach 1)

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

3,625,868 1,812,934 906,467 2,719,402 1,359,701 4,079,104 2,039,552 1,019,776 509,888 254,944 127,472 63,736 31,868 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641

More profiles

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