4,040,868

2² × 3 × 13 × 25903

Starting at 4,040,868, the Collatz iteration reaches 1 after 229 steps. The first transition is 2020434; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 25903

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,154,368

Proper Divisor Sum 6,113,500

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4040833 ← → #4040873

Radix Representation

Decimal	4040868
Binary	1111011010100010100100 (22 bits)
Octal	0o17324244
Hexadecimal	0x3DA8A4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 25,903 51,806 77,709 103,612 155,418 310,836 336,739 673,478 1,010,217 1,346,956 2,020,434 4,040,868

Collatz Trajectory (229 steps to reach 1)

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

4,040,868 2,020,434 1,010,217 3,030,652 1,515,326 757,663 2,272,990 1,136,495 3,409,486 1,704,743 5,114,230 2,557,115 7,671,346 3,835,673 11,507,020 5,753,510 2,876,755 8,630,266 4,315,133 12,945,400 6,472,700 3,236,350 1,618,175 4,854,526 2,427,263 7,281,790 3,640,895 10,922,686 5,461,343 16,384,030 8,192,015 24,576,046 12,288,023 36,864,070 18,432,035 55,296,106 27,648,053 82,944,160 41,472,080 20,736,040 10,368,020 5,184,010 2,592,005 7,776,016 3,888,008 1,944,004 972,002 486,001 1,458,004 729,002 364,501 1,093,504 546,752 273,376 136,688 68,344 34,172 17,086 8,543 25,630

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