4,659,660

2² × 3³ × 5 × 8629

Starting at 4,659,660, the Collatz iteration reaches 1 after 149 steps. The first transition is 2329830; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 8629

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,498,400

Proper Divisor Sum 9,838,740

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4659647 ← → #4659673

Radix Representation

Decimal	4659660
Binary	10001110001100111001100 (23 bits)
Octal	0o21614714
Hexadecimal	0x4719CC

Divisor Catalog (48)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 8,629 17,258 25,887 34,516 43,145 51,774 77,661 86,290 103,548 129,435 155,322 172,580 232,983 258,870 310,644 388,305 465,966 517,740 776,610 931,932 1,164,915 1,553,220 2,329,830 4,659,660

Collatz Trajectory (149 steps to reach 1)

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

4,659,660 2,329,830 1,164,915 3,494,746 1,747,373 5,242,120 2,621,060 1,310,530 655,265 1,965,796 982,898 491,449 1,474,348 737,174 368,587 1,105,762 552,881 1,658,644 829,322 414,661 1,243,984 621,992 310,996 155,498 77,749 233,248 116,624 58,312 29,156 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137

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