λ
Sequence Observatory

4,091,672

23 × 13 × 39343
Abundant Even Composite

Starting at 4,091,672, the Collatz iteration reaches 1 after 92 steps. The first transition is 2045836; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 39343
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,262,240
Proper Divisor Sum 4,170,568
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4091671 ← → #4091693

Radix Representation

Decimal 4091672
Binary 1111100110111100011000 (22 bits)
Octal 0o17467430
Hexadecimal 0x3E6F18

Divisor Catalog (16)

1 2 4 8 13 26 52 104 39,343 78,686 157,372 314,744 511,459 1,022,918 2,045,836 4,091,672

Collatz Trajectory (92 steps to reach 1)

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

4,091,672 2,045,836 1,022,918 511,459 1,534,378 767,189 2,301,568 1,150,784 575,392 287,696 143,848 71,924 35,962 17,981 53,944 26,972 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

More profiles

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