3,328,840

2³ × 5 × 83221

Starting at 3,328,840, the Collatz iteration reaches 1 after 283 steps. The first transition is 1664420; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 83221

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,489,980

Proper Divisor Sum 4,161,140

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3328837 ← → #3328849

Radix Representation

Decimal	3328840
Binary	1100101100101101001000 (22 bits)
Octal	0o14545510
Hexadecimal	0x32CB48

Divisor Catalog (16)

1 2 4 5 8 10 20 40 83,221 166,442 332,884 416,105 665,768 832,210 1,664,420 3,328,840

Collatz Trajectory (283 steps to reach 1)

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

3,328,840 1,664,420 832,210 416,105 1,248,316 624,158 312,079 936,238 468,119 1,404,358 702,179 2,106,538 1,053,269 3,159,808 1,579,904 789,952 394,976 197,488 98,744 49,372 24,686 12,343 37,030 18,515 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710

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