λ
Harmonic Matrix

6,749,814

2 × 3 × 1124969
Abundant Even Composite

6,749,814 has digital root 3. The neighboring primes are 6749803 and 6749819; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1124969
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,499,640
Proper Divisor Sum 6,749,826
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6749803 ← → #6749819

Radix Representation

Decimal 6749814
Binary 11001101111111001110110 (23 bits)
Octal 0o31577166
Hexadecimal 0x66FE76

Divisor Catalog (8)

1 2 3 6 1,124,969 2,249,938 3,374,907 6,749,814

Collatz Trajectory (134 steps to reach 1)

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

6,749,814 3,374,907 10,124,722 5,062,361 15,187,084 7,593,542 3,796,771 11,390,314 5,695,157 17,085,472 8,542,736 4,271,368 2,135,684 1,067,842 533,921 1,601,764 800,882 400,441 1,201,324 600,662 300,331 900,994 450,497 1,351,492 675,746 337,873 1,013,620 506,810 253,405 760,216 380,108 190,054 95,027 285,082 142,541 427,624 213,812 106,906 53,453 160,360 80,180 40,090 20,045 60,136 30,068 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190

More profiles

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