4,022,788

2² × 7 × 11 × 37 × 353

Starting at 4,022,788, the Collatz iteration reaches 1 after 136 steps. The first transition is 2011394; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 37 × 353

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,039,744

Proper Divisor Sum 5,016,956

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4022783 ← → #4022803

Radix Representation

Decimal	4022788
Binary	1111010110001000000100 (22 bits)
Octal	0o17261004
Hexadecimal	0x3D6204

Divisor Catalog (48)

1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 353 407 518 706 814 1,036 1,412 1,628 2,471 2,849 3,883 4,942 5,698 7,766 9,884 11,396 13,061 15,532 26,122 27,181 52,244 54,362 91,427 108,724 143,671 182,854 287,342 365,708 574,684 1,005,697 2,011,394 4,022,788

Collatz Trajectory (136 steps to reach 1)

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

4,022,788 2,011,394 1,005,697 3,017,092 1,508,546 754,273 2,262,820 1,131,410 565,705 1,697,116 848,558 424,279 1,272,838 636,419 1,909,258 954,629 2,863,888 1,431,944 715,972 357,986 178,993 536,980 268,490 134,245 402,736 201,368 100,684 50,342 25,171 75,514 37,757 113,272 56,636 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522

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