λ
Harmonic Matrix

1,678,296

23 × 3 × 69929
Abundant Even Composite

1,678,296 has digital root 3. The neighboring primes are 1678277 and 1678301; its proper-divisor sum differs from the starting integer by 839,208.

Prime Factor Structure

Factorization String 2^3 × 3 × 69929
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,195,800
Proper Divisor Sum 2,517,504
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1678277 ← → #1678301

Radix Representation

Decimal 1678296
Binary 110011001101111011000 (21 bits)
Octal 0o6315730
Hexadecimal 0x199BD8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 69,929 139,858 209,787 279,716 419,574 559,432 839,148 1,678,296

Collatz Trajectory (114 steps to reach 1)

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

1,678,296 839,148 419,574 209,787 629,362 314,681 944,044 472,022 236,011 708,034 354,017 1,062,052 531,026 265,513 796,540 398,270 199,135 597,406 298,703 896,110 448,055 1,344,166 672,083 2,016,250 1,008,125 3,024,376 1,512,188 756,094 378,047 1,134,142 567,071 1,701,214 850,607 2,551,822 1,275,911 3,827,734 1,913,867 5,741,602 2,870,801 8,612,404 4,306,202 2,153,101 6,459,304 3,229,652 1,614,826 807,413 2,422,240 1,211,120 605,560 302,780 151,390 75,695 227,086 113,543 340,630 170,315 510,946 255,473 766,420 383,210

More profiles

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