3,724,804

2² × 23 × 40487

Starting at 3,724,804, the Collatz iteration reaches 1 after 141 steps. The first transition is 1862402; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 40487

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,801,984

Proper Divisor Sum 3,077,180

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3724757 ← → #3724807

Radix Representation

Decimal	3724804
Binary	1110001101011000000100 (22 bits)
Octal	0o16153004
Hexadecimal	0x38D604

Divisor Catalog (12)

1 2 4 23 46 92 40,487 80,974 161,948 931,201 1,862,402 3,724,804

Collatz Trajectory (141 steps to reach 1)

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

3,724,804 1,862,402 931,201 2,793,604 1,396,802 698,401 2,095,204 1,047,602 523,801 1,571,404 785,702 392,851 1,178,554 589,277 1,767,832 883,916 441,958 220,979 662,938 331,469 994,408 497,204 248,602 124,301 372,904 186,452 93,226 46,613 139,840 69,920 34,960 17,480 8,740 4,370 2,185 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650

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