3,668,920

2³ × 5 × 37² × 67

Starting at 3,668,920, the Collatz iteration reaches 1 after 110 steps. The first transition is 1834460; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 37^2 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,610,840

Proper Divisor Sum 4,941,920

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #3668911 ← → #3668921

Radix Representation

Decimal	3668920
Binary	1101111111101110111000 (22 bits)
Octal	0o15775670
Hexadecimal	0x37FBB8

Divisor Catalog (48)

1 2 4 5 8 10 20 37 40 67 74 134 148 185 268 296 335 370 536 670 740 1,340 1,369 1,480 2,479 2,680 2,738 4,958 5,476 6,845 9,916 10,952 12,395 13,690 19,832 24,790 27,380 49,580 54,760 91,723 99,160 183,446 366,892 458,615 733,784 917,230 1,834,460 3,668,920

Collatz Trajectory (110 steps to reach 1)

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

3,668,920 1,834,460 917,230 458,615 1,375,846 687,923 2,063,770 1,031,885 3,095,656 1,547,828 773,914 386,957 1,160,872 580,436 290,218 145,109 435,328 217,664 108,832 54,416 27,208 13,604 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 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

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