3,388,610

2 × 5 × 17 × 31 × 643

3,388,610 has digital root 2. The neighboring primes are 3388589 and 3388643; its proper-divisor sum differs from the starting integer by -100,228.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 31 × 643

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,676,992

Proper Divisor Sum 3,288,382

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3388589 ← → #3388643

Radix Representation

Decimal	3388610
Binary	1100111011010011000010 (22 bits)
Octal	0o14732302
Hexadecimal	0x33B4C2

Divisor Catalog (32)

1 2 5 10 17 31 34 62 85 155 170 310 527 643 1,054 1,286 2,635 3,215 5,270 6,430 10,931 19,933 21,862 39,866 54,655 99,665 109,310 199,330 338,861 677,722 1,694,305 3,388,610

Collatz Trajectory (84 steps to reach 1)

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

3,388,610 1,694,305 5,082,916 2,541,458 1,270,729 3,812,188 1,906,094 953,047 2,859,142 1,429,571 4,288,714 2,144,357 6,433,072 3,216,536 1,608,268 804,134 402,067 1,206,202 603,101 1,809,304 904,652 452,326 226,163 678,490 339,245 1,017,736 508,868 254,434 127,217 381,652 190,826 95,413 286,240 143,120 71,560 35,780 17,890 8,945 26,836 13,418 6,709 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101

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