3,298,782

2 × 3 × 17 × 32341

Starting at 3,298,782, the Collatz iteration reaches 1 after 146 steps. The first transition is 1649391; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 32341

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,985,872

Proper Divisor Sum 3,687,090

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3298769 ← → #3298807

Radix Representation

Decimal	3298782
Binary	1100100101010111011110 (22 bits)
Octal	0o14452736
Hexadecimal	0x3255DE

Divisor Catalog (16)

1 2 3 6 17 34 51 102 32,341 64,682 97,023 194,046 549,797 1,099,594 1,649,391 3,298,782

Collatz Trajectory (146 steps to reach 1)

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

3,298,782 1,649,391 4,948,174 2,474,087 7,422,262 3,711,131 11,133,394 5,566,697 16,700,092 8,350,046 4,175,023 12,525,070 6,262,535 18,787,606 9,393,803 28,181,410 14,090,705 42,272,116 21,136,058 10,568,029 31,704,088 15,852,044 7,926,022 3,963,011 11,889,034 5,944,517 17,833,552 8,916,776 4,458,388 2,229,194 1,114,597 3,343,792 1,671,896 835,948 417,974 208,987 626,962 313,481 940,444 470,222 235,111 705,334 352,667 1,058,002 529,001 1,587,004 793,502 396,751 1,190,254 595,127 1,785,382 892,691 2,678,074 1,339,037 4,017,112 2,008,556 1,004,278 502,139 1,506,418 753,209

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