λ
Sequence Observatory

4,168,614

2 × 3 × 331 × 2099
Abundant Even Composite

Starting at 4,168,614, the Collatz iteration reaches 1 after 136 steps. The first transition is 2084307; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 331 × 2099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,366,400
Proper Divisor Sum 4,197,786
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4168583 ← → #4168627

Radix Representation

Decimal 4168614
Binary 1111111001101110100110 (22 bits)
Octal 0o17715646
Hexadecimal 0x3F9BA6

Divisor Catalog (16)

1 2 3 6 331 662 993 1,986 2,099 4,198 6,297 12,594 694,769 1,389,538 2,084,307 4,168,614

Collatz Trajectory (136 steps to reach 1)

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

4,168,614 2,084,307 6,252,922 3,126,461 9,379,384 4,689,692 2,344,846 1,172,423 3,517,270 1,758,635 5,275,906 2,637,953 7,913,860 3,956,930 1,978,465 5,935,396 2,967,698 1,483,849 4,451,548 2,225,774 1,112,887 3,338,662 1,669,331 5,007,994 2,503,997 7,511,992 3,755,996 1,877,998 938,999 2,816,998 1,408,499 4,225,498 2,112,749 6,338,248 3,169,124 1,584,562 792,281 2,376,844 1,188,422 594,211 1,782,634 891,317 2,673,952 1,336,976 668,488 334,244 167,122 83,561 250,684 125,342 62,671 188,014 94,007 282,022 141,011 423,034 211,517 634,552 317,276 158,638

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