4,068,672

2⁶ × 3 × 21191

Starting at 4,068,672, the Collatz iteration reaches 1 after 105 steps. The first transition is 2034336; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3 × 21191

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 10,765,536

Proper Divisor Sum 6,696,864

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4068667 ← → #4068683

Radix Representation

Decimal	4068672
Binary	1111100001010101000000 (22 bits)
Octal	0o17412500
Hexadecimal	0x3E1540

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 21,191 42,382 63,573 84,764 127,146 169,528 254,292 339,056 508,584 678,112 1,017,168 1,356,224 2,034,336 4,068,672

Collatz Trajectory (105 steps to reach 1)

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

4,068,672 2,034,336 1,017,168 508,584 254,292 127,146 63,573 190,720 95,360 47,680 23,840 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722

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