λ
Harmonic Matrix

3,442,878

2 × 33 × 103 × 619
Abundant Even Composite

3,442,878 has digital root 9. The neighboring primes are 3442877 and 3442883; its proper-divisor sum differs from the starting integer by 851,844.

Prime Factor Structure

Factorization String 2 × 3^3 × 103 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,737,600
Proper Divisor Sum 4,294,722
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3442877 ← → #3442883

Radix Representation

Decimal 3442878
Binary 1101001000100010111110 (22 bits)
Octal 0o15104276
Hexadecimal 0x3488BE

Divisor Catalog (32)

1 2 3 6 9 18 27 54 103 206 309 618 619 927 1,238 1,854 1,857 2,781 3,714 5,562 5,571 11,142 16,713 33,426 63,757 127,514 191,271 382,542 573,813 1,147,626 1,721,439 3,442,878

Collatz Trajectory (133 steps to reach 1)

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

3,442,878 1,721,439 5,164,318 2,582,159 7,746,478 3,873,239 11,619,718 5,809,859 17,429,578 8,714,789 26,144,368 13,072,184 6,536,092 3,268,046 1,634,023 4,902,070 2,451,035 7,353,106 3,676,553 11,029,660 5,514,830 2,757,415 8,272,246 4,136,123 12,408,370 6,204,185 18,612,556 9,306,278 4,653,139 13,959,418 6,979,709 20,939,128 10,469,564 5,234,782 2,617,391 7,852,174 3,926,087 11,778,262 5,889,131 17,667,394 8,833,697 26,501,092 13,250,546 6,625,273 19,875,820 9,937,910 4,968,955 14,906,866 7,453,433 22,360,300 11,180,150 5,590,075 16,770,226 8,385,113 25,155,340 12,577,670 6,288,835 18,866,506 9,433,253 28,299,760

More profiles

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