4,641,706

2 × 89² × 293

Starting at 4,641,706, the Collatz iteration reaches 1 after 87 steps. The first transition is 2320853; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 89^2 × 293

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,065,702

Proper Divisor Sum 2,423,996

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4641683 ← → #4641709

Radix Representation

Decimal	4641706
Binary	10001101101001110101010 (23 bits)
Octal	0o21551652
Hexadecimal	0x46D3AA

Divisor Catalog (12)

1 2 89 178 293 586 7,921 15,842 26,077 52,154 2,320,853 4,641,706

Collatz Trajectory (87 steps to reach 1)

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

4,641,706 2,320,853 6,962,560 3,481,280 1,740,640 870,320 435,160 217,580 108,790 54,395 163,186 81,593 244,780 122,390 61,195 183,586 91,793 275,380 137,690 68,845 206,536 103,268 51,634 25,817 77,452 38,726 19,363 58,090 29,045 87,136 43,568 21,784 10,892 5,446 2,723 8,170 4,085 12,256 6,128 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820

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