λ
Harmonic Matrix

8,394,322

2 × 4197161
Deficient Even Composite

8,394,322 has digital root 4. The neighboring primes are 8394317 and 8394359; its proper-divisor sum differs from the starting integer by -4,197,158.

Prime Factor Structure

Factorization String 2 × 4197161
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,591,486
Proper Divisor Sum 4,197,164
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8394317 ← → #8394359

Radix Representation

Decimal 8394322
Binary 100000000001011001010010 (24 bits)
Octal 0o40013122
Hexadecimal 0x801652

Divisor Catalog (4)

1 2 4,197,161 8,394,322

Collatz Trajectory (137 steps to reach 1)

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

8,394,322 4,197,161 12,591,484 6,295,742 3,147,871 9,443,614 4,721,807 14,165,422 7,082,711 21,248,134 10,624,067 31,872,202 15,936,101 47,808,304 23,904,152 11,952,076 5,976,038 2,988,019 8,964,058 4,482,029 13,446,088 6,723,044 3,361,522 1,680,761 5,042,284 2,521,142 1,260,571 3,781,714 1,890,857 5,672,572 2,836,286 1,418,143 4,254,430 2,127,215 6,381,646 3,190,823 9,572,470 4,786,235 14,358,706 7,179,353 21,538,060 10,769,030 5,384,515 16,153,546 8,076,773 24,230,320 12,115,160 6,057,580 3,028,790 1,514,395 4,543,186 2,271,593 6,814,780 3,407,390 1,703,695 5,111,086 2,555,543 7,666,630 3,833,315 11,499,946

More profiles

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