λ
Harmonic Matrix

6,294,746

2 × 677 × 4649
Deficient Even Composite

6,294,746 has digital root 2. The neighboring primes are 6294733 and 6294749; its proper-divisor sum differs from the starting integer by -3,131,392.

Prime Factor Structure

Factorization String 2 × 677 × 4649
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,458,100
Proper Divisor Sum 3,163,354
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6294733 ← → #6294749

Radix Representation

Decimal 6294746
Binary 11000000000110011011010 (23 bits)
Octal 0o30006332
Hexadecimal 0x600CDA

Divisor Catalog (8)

1 2 677 1,354 4,649 9,298 3,147,373 6,294,746

Collatz Trajectory (103 steps to reach 1)

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

6,294,746 3,147,373 9,442,120 4,721,060 2,360,530 1,180,265 3,540,796 1,770,398 885,199 2,655,598 1,327,799 3,983,398 1,991,699 5,975,098 2,987,549 8,962,648 4,481,324 2,240,662 1,120,331 3,360,994 1,680,497 5,041,492 2,520,746 1,260,373 3,781,120 1,890,560 945,280 472,640 236,320 118,160 59,080 29,540 14,770 7,385 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114

More profiles

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