3,345,580

2² × 5 × 7 × 23 × 1039

Starting at 3,345,580, the Collatz iteration reaches 1 after 159 steps. The first transition is 1672790; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 23 × 1039

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,386,560

Proper Divisor Sum 5,040,980

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3345541 ← → #3345581

Radix Representation

Decimal	3345580
Binary	1100110000110010101100 (22 bits)
Octal	0o14606254
Hexadecimal	0x330CAC

Divisor Catalog (48)

1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1,039 1,610 2,078 3,220 4,156 5,195 7,273 10,390 14,546 20,780 23,897 29,092 36,365 47,794 72,730 95,588 119,485 145,460 167,279 238,970 334,558 477,940 669,116 836,395 1,672,790 3,345,580

Collatz Trajectory (159 steps to reach 1)

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

3,345,580 1,672,790 836,395 2,509,186 1,254,593 3,763,780 1,881,890 940,945 2,822,836 1,411,418 705,709 2,117,128 1,058,564 529,282 264,641 793,924 396,962 198,481 595,444 297,722 148,861 446,584 223,292 111,646 55,823 167,470 83,735 251,206 125,603 376,810 188,405 565,216 282,608 141,304 70,652 35,326 17,663 52,990 26,495 79,486 39,743 119,230 59,615 178,846 89,423 268,270 134,135 402,406 201,203 603,610 301,805 905,416 452,708 226,354 113,177 339,532 169,766 84,883 254,650 127,325

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