λ
Harmonic Matrix

3,339,786

2 × 3 × 17 × 137 × 239
Abundant Even Composite

3,339,786 has digital root 3. The neighboring primes are 3339751 and 3339797; its proper-divisor sum differs from the starting integer by 474,348.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 137 × 239
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,153,920
Proper Divisor Sum 3,814,134
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3339751 ← → #3339797

Radix Representation

Decimal 3339786
Binary 1100101111011000001010 (22 bits)
Octal 0o14573012
Hexadecimal 0x32F60A

Divisor Catalog (32)

1 2 3 6 17 34 51 102 137 239 274 411 478 717 822 1,434 2,329 4,063 4,658 6,987 8,126 12,189 13,974 24,378 32,743 65,486 98,229 196,458 556,631 1,113,262 1,669,893 3,339,786

Collatz Trajectory (89 steps to reach 1)

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

3,339,786 1,669,893 5,009,680 2,504,840 1,252,420 626,210 313,105 939,316 469,658 234,829 704,488 352,244 176,122 88,061 264,184 132,092 66,046 33,023 99,070 49,535 148,606 74,303 222,910 111,455 334,366 167,183 501,550 250,775 752,326 376,163 1,128,490 564,245 1,692,736 846,368 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532

More profiles

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