λ
Harmonic Matrix

2,859,390

2 × 32 × 5 × 31771
Abundant Even Composite

2,859,390 has digital root 9. The neighboring primes are 2859377 and 2859391; its proper-divisor sum differs from the starting integer by 1,715,868.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 31771
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,434,648
Proper Divisor Sum 4,575,258
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2859377 ← → #2859391

Radix Representation

Decimal 2859390
Binary 1010111010000101111110 (22 bits)
Octal 0o12720576
Hexadecimal 0x2BA17E

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 31,771 63,542 95,313 158,855 190,626 285,939 317,710 476,565 571,878 953,130 1,429,695 2,859,390

Collatz Trajectory (213 steps to reach 1)

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

2,859,390 1,429,695 4,289,086 2,144,543 6,433,630 3,216,815 9,650,446 4,825,223 14,475,670 7,237,835 21,713,506 10,856,753 32,570,260 16,285,130 8,142,565 24,427,696 12,213,848 6,106,924 3,053,462 1,526,731 4,580,194 2,290,097 6,870,292 3,435,146 1,717,573 5,152,720 2,576,360 1,288,180 644,090 322,045 966,136 483,068 241,534 120,767 362,302 181,151 543,454 271,727 815,182 407,591 1,222,774 611,387 1,834,162 917,081 2,751,244 1,375,622 687,811 2,063,434 1,031,717 3,095,152 1,547,576 773,788 386,894 193,447 580,342 290,171 870,514 435,257 1,305,772 652,886

More profiles

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