3,766,374

2 × 3² × 83 × 2521

Starting at 3,766,374, the Collatz iteration reaches 1 after 172 steps. The first transition is 1883187; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 83 × 2521

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,262,072

Proper Divisor Sum 4,495,698

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3766349 ← → #3766387

Radix Representation

Decimal	3766374
Binary	1110010111100001100110 (22 bits)
Octal	0o16274146
Hexadecimal	0x397866

Divisor Catalog (24)

1 2 3 6 9 18 83 166 249 498 747 1,494 2,521 5,042 7,563 15,126 22,689 45,378 209,243 418,486 627,729 1,255,458 1,883,187 3,766,374

Collatz Trajectory (172 steps to reach 1)

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

3,766,374 1,883,187 5,649,562 2,824,781 8,474,344 4,237,172 2,118,586 1,059,293 3,177,880 1,588,940 794,470 397,235 1,191,706 595,853 1,787,560 893,780 446,890 223,445 670,336 335,168 167,584 83,792 41,896 20,948 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

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