λ
Sequence Observatory

4,027,926

2 × 3 × 7 × 29 × 3307
Abundant Even Composite

Starting at 4,027,926, the Collatz iteration reaches 1 after 185 steps. The first transition is 2013963; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 29 × 3307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,527,040
Proper Divisor Sum 5,499,114
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4027913 ← → #4027927

Radix Representation

Decimal 4027926
Binary 1111010111011000010110 (22 bits)
Octal 0o17273026
Hexadecimal 0x3D7616

Divisor Catalog (32)

1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1,218 3,307 6,614 9,921 19,842 23,149 46,298 69,447 95,903 138,894 191,806 287,709 575,418 671,321 1,342,642 2,013,963 4,027,926

Collatz Trajectory (185 steps to reach 1)

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

4,027,926 2,013,963 6,041,890 3,020,945 9,062,836 4,531,418 2,265,709 6,797,128 3,398,564 1,699,282 849,641 2,548,924 1,274,462 637,231 1,911,694 955,847 2,867,542 1,433,771 4,301,314 2,150,657 6,451,972 3,225,986 1,612,993 4,838,980 2,419,490 1,209,745 3,629,236 1,814,618 907,309 2,721,928 1,360,964 680,482 340,241 1,020,724 510,362 255,181 765,544 382,772 191,386 95,693 287,080 143,540 71,770 35,885 107,656 53,828 26,914 13,457 40,372 20,186 10,093 30,280 15,140 7,570 3,785 11,356 5,678 2,839 8,518 4,259

More profiles

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