λ
Integer Codex

6,796,629

34 × 7 × 11987
Deficient Odd Composite

For 6,796,629, the 20 positive divisors have a total of 11,604,384. Removing 6,796,629 leaves 4,807,755, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^4 × 7 × 11987
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,604,384
Proper Divisor Sum 4,807,755
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6796597 ← → #6796631

Radix Representation

Decimal 6796629
Binary 11001111011010101010101 (23 bits)
Octal 0o31732525
Hexadecimal 0x67B555

Divisor Catalog (20)

1 3 7 9 21 27 63 81 189 567 11,987 35,961 83,909 107,883 251,727 323,649 755,181 970,947 2,265,543 6,796,629

Collatz Trajectory (54 steps to reach 1)

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

6,796,629 20,389,888 10,194,944 5,097,472 2,548,736 1,274,368 637,184 318,592 159,296 79,648 39,824 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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