λ
Harmonic Matrix

6,809,808

24 × 3 × 141871
Abundant Even Composite

6,809,808 has digital root 3. The neighboring primes are 6809807 and 6809833; its proper-divisor sum differs from the starting integer by 3,972,512.

Prime Factor Structure

Factorization String 2^4 × 3 × 141871
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 17,592,128
Proper Divisor Sum 10,782,320
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6809807 ← → #6809833

Radix Representation

Decimal 6809808
Binary 11001111110100011010000 (23 bits)
Octal 0o31764320
Hexadecimal 0x67E8D0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 141,871 283,742 425,613 567,484 851,226 1,134,968 1,702,452 2,269,936 3,404,904 6,809,808

Collatz Trajectory (178 steps to reach 1)

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

6,809,808 3,404,904 1,702,452 851,226 425,613 1,276,840 638,420 319,210 159,605 478,816 239,408 119,704 59,852 29,926 14,963 44,890 22,445 67,336 33,668 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202

More profiles

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