λ
Integer Codex

6,789,969

32 × 41 × 18401
Deficient Odd Composite

For 6,789,969, the 12 positive divisors have a total of 10,047,492. Removing 6,789,969 leaves 3,257,523, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 41 × 18401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,047,492
Proper Divisor Sum 3,257,523
Digit Sum / Digital Root 54 (Root: 9)
Adjacent Primes #6789967 ← → #6789977

Radix Representation

Decimal 6789969
Binary 11001111001101101010001 (23 bits)
Octal 0o31715521
Hexadecimal 0x679B51

Divisor Catalog (12)

1 3 9 41 123 369 18,401 55,203 165,609 754,441 2,263,323 6,789,969

Collatz Trajectory (129 steps to reach 1)

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

6,789,969 20,369,908 10,184,954 5,092,477 15,277,432 7,638,716 3,819,358 1,909,679 5,729,038 2,864,519 8,593,558 4,296,779 12,890,338 6,445,169 19,335,508 9,667,754 4,833,877 14,501,632 7,250,816 3,625,408 1,812,704 906,352 453,176 226,588 113,294 56,647 169,942 84,971 254,914 127,457 382,372 191,186 95,593 286,780 143,390 71,695 215,086 107,543 322,630 161,315 483,946 241,973 725,920 362,960 181,480 90,740 45,370 22,685 68,056 34,028 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072

More profiles

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