λ
Harmonic Matrix

6,478,744

23 × 809843
Deficient Even Composite

6,478,744 has digital root 4. The neighboring primes are 6478733 and 6478757; its proper-divisor sum differs from the starting integer by -809,828.

Prime Factor Structure

Factorization String 2^3 × 809843
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,147,660
Proper Divisor Sum 5,668,916
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6478733 ← → #6478757

Radix Representation

Decimal 6478744
Binary 11000101101101110011000 (23 bits)
Octal 0o30555630
Hexadecimal 0x62DB98

Divisor Catalog (8)

1 2 4 8 809,843 1,619,686 3,239,372 6,478,744

Collatz Trajectory (64 steps to reach 1)

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

6,478,744 3,239,372 1,619,686 809,843 2,429,530 1,214,765 3,644,296 1,822,148 911,074 455,537 1,366,612 683,306 341,653 1,024,960 512,480 256,240 128,120 64,060 32,030 16,015 48,046 24,023 72,070 36,035 108,106 54,053 162,160 81,080 40,540 20,270 10,135 30,406 15,203 45,610 22,805 68,416 34,208 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32

More profiles

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