4,221,668

2² × 11 × 95947

Starting at 4,221,668, the Collatz iteration reaches 1 after 167 steps. The first transition is 2110834; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 95947

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,059,632

Proper Divisor Sum 3,837,964

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4221653 ← → #4221671

Radix Representation

Decimal	4221668
Binary	10000000110101011100100 (23 bits)
Octal	0o20065344
Hexadecimal	0x406AE4

Divisor Catalog (12)

1 2 4 11 22 44 95,947 191,894 383,788 1,055,417 2,110,834 4,221,668

Collatz Trajectory (167 steps to reach 1)

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

4,221,668 2,110,834 1,055,417 3,166,252 1,583,126 791,563 2,374,690 1,187,345 3,562,036 1,781,018 890,509 2,671,528 1,335,764 667,882 333,941 1,001,824 500,912 250,456 125,228 62,614 31,307 93,922 46,961 140,884 70,442 35,221 105,664 52,832 26,416 13,208 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125

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