4,644,708

2² × 3 × 53 × 67 × 109

Starting at 4,644,708, the Collatz iteration reaches 1 after 100 steps. The first transition is 2322354; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 67 × 109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,309,760

Proper Divisor Sum 6,665,052

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4644707 ← → #4644719

Radix Representation

Decimal	4644708
Binary	10001101101111101100100 (23 bits)
Octal	0o21557544
Hexadecimal	0x46DF64

Divisor Catalog (48)

1 2 3 4 6 12 53 67 106 109 134 159 201 212 218 268 318 327 402 436 636 654 804 1,308 3,551 5,777 7,102 7,303 10,653 11,554 14,204 14,606 17,331 21,306 21,909 23,108 29,212 34,662 42,612 43,818 69,324 87,636 387,059 774,118 1,161,177 1,548,236 2,322,354 4,644,708

Collatz Trajectory (100 steps to reach 1)

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

4,644,708 2,322,354 1,161,177 3,483,532 1,741,766 870,883 2,612,650 1,306,325 3,918,976 1,959,488 979,744 489,872 244,936 122,468 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524

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