6,772,311

3² × 7 × 13 × 8269

6,772,311 is odd and not a perfect square. Its factorization is 3^2 × 7 × 13 × 8269 and its 24 divisors sum to 12,041,120.

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 8269

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,041,120

Proper Divisor Sum 5,268,809

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6772309 ← → #6772313

Radix Representation

Decimal	6772311
Binary	11001110101011001010111 (23 bits)
Octal	0o31653127
Hexadecimal	0x675657

Divisor Catalog (24)

1 3 7 9 13 21 39 63 91 117 273 819 8,269 24,807 57,883 74,421 107,497 173,649 322,491 520,947 752,479 967,473 2,257,437 6,772,311

Collatz Trajectory (108 steps to reach 1)

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

6,772,311 20,316,934 10,158,467 30,475,402 15,237,701 45,713,104 22,856,552 11,428,276 5,714,138 2,857,069 8,571,208 4,285,604 2,142,802 1,071,401 3,214,204 1,607,102 803,551 2,410,654 1,205,327 3,615,982 1,807,991 5,423,974 2,711,987 8,135,962 4,067,981 12,203,944 6,101,972 3,050,986 1,525,493 4,576,480 2,288,240 1,144,120 572,060 286,030 143,015 429,046 214,523 643,570 321,785 965,356 482,678 241,339 724,018 362,009 1,086,028 543,014 271,507 814,522 407,261 1,221,784 610,892 305,446 152,723 458,170 229,085 687,256 343,628 171,814 85,907 257,722

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