3,739,524

2² × 3 × 17 × 23 × 797

Starting at 3,739,524, the Collatz iteration reaches 1 after 265 steps. The first transition is 1869762; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 23 × 797

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,652,608

Proper Divisor Sum 5,913,084

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3739511 ← → #3739531

Radix Representation

Decimal	3739524
Binary	1110010000111110000100 (22 bits)
Octal	0o16207604
Hexadecimal	0x390F84

Divisor Catalog (48)

1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 797 1,173 1,564 1,594 2,346 2,391 3,188 4,692 4,782 9,564 13,549 18,331 27,098 36,662 40,647 54,196 54,993 73,324 81,294 109,986 162,588 219,972 311,627 623,254 934,881 1,246,508 1,869,762 3,739,524

Collatz Trajectory (265 steps to reach 1)

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

3,739,524 1,869,762 934,881 2,804,644 1,402,322 701,161 2,103,484 1,051,742 525,871 1,577,614 788,807 2,366,422 1,183,211 3,549,634 1,774,817 5,324,452 2,662,226 1,331,113 3,993,340 1,996,670 998,335 2,995,006 1,497,503 4,492,510 2,246,255 6,738,766 3,369,383 10,108,150 5,054,075 15,162,226 7,581,113 22,743,340 11,371,670 5,685,835 17,057,506 8,528,753 25,586,260 12,793,130 6,396,565 19,189,696 9,594,848 4,797,424 2,398,712 1,199,356 599,678 299,839 899,518 449,759 1,349,278 674,639 2,023,918 1,011,959 3,035,878 1,517,939 4,553,818 2,276,909 6,830,728 3,415,364 1,707,682 853,841

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