λ
Harmonic Matrix

6,747,322

2 × 491 × 6871
Deficient Even Composite

6,747,322 has digital root 4. The neighboring primes are 6747289 and 6747331; its proper-divisor sum differs from the starting integer by -3,351,572.

Prime Factor Structure

Factorization String 2 × 491 × 6871
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,143,072
Proper Divisor Sum 3,395,750
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6747289 ← → #6747331

Radix Representation

Decimal 6747322
Binary 11001101111010010111010 (23 bits)
Octal 0o31572272
Hexadecimal 0x66F4BA

Divisor Catalog (8)

1 2 491 982 6,871 13,742 3,373,661 6,747,322

Collatz Trajectory (178 steps to reach 1)

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

6,747,322 3,373,661 10,120,984 5,060,492 2,530,246 1,265,123 3,795,370 1,897,685 5,693,056 2,846,528 1,423,264 711,632 355,816 177,908 88,954 44,477 133,432 66,716 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199

More profiles

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