4,646,418

2 × 3 × 7 × 110629

Starting at 4,646,418, the Collatz iteration reaches 1 after 193 steps. The first transition is 2323209; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 110629

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,620,480

Proper Divisor Sum 5,974,062

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4646417 ← → #4646429

Radix Representation

Decimal	4646418
Binary	10001101110011000010010 (23 bits)
Octal	0o21563022
Hexadecimal	0x46E612

Divisor Catalog (16)

1 2 3 6 7 14 21 42 110,629 221,258 331,887 663,774 774,403 1,548,806 2,323,209 4,646,418

Collatz Trajectory (193 steps to reach 1)

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

4,646,418 2,323,209 6,969,628 3,484,814 1,742,407 5,227,222 2,613,611 7,840,834 3,920,417 11,761,252 5,880,626 2,940,313 8,820,940 4,410,470 2,205,235 6,615,706 3,307,853 9,923,560 4,961,780 2,480,890 1,240,445 3,721,336 1,860,668 930,334 465,167 1,395,502 697,751 2,093,254 1,046,627 3,139,882 1,569,941 4,709,824 2,354,912 1,177,456 588,728 294,364 147,182 73,591 220,774 110,387 331,162 165,581 496,744 248,372 124,186 62,093 186,280 93,140 46,570 23,285 69,856 34,928 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913

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