λ
Harmonic Matrix

6,686,428

22 × 7 × 238801
Abundant Even Composite

6,686,428 has digital root 4. The neighboring primes are 6686419 and 6686437; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 238801
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,372,912
Proper Divisor Sum 6,686,484
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6686419 ← → #6686437

Radix Representation

Decimal 6686428
Binary 11001100000011011011100 (23 bits)
Octal 0o31403334
Hexadecimal 0x6606DC

Divisor Catalog (12)

1 2 4 7 14 28 238,801 477,602 955,204 1,671,607 3,343,214 6,686,428

Collatz Trajectory (209 steps to reach 1)

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

6,686,428 3,343,214 1,671,607 5,014,822 2,507,411 7,522,234 3,761,117 11,283,352 5,641,676 2,820,838 1,410,419 4,231,258 2,115,629 6,346,888 3,173,444 1,586,722 793,361 2,380,084 1,190,042 595,021 1,785,064 892,532 446,266 223,133 669,400 334,700 167,350 83,675 251,026 125,513 376,540 188,270 94,135 282,406 141,203 423,610 211,805 635,416 317,708 158,854 79,427 238,282 119,141 357,424 178,712 89,356 44,678 22,339 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069

More profiles

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