6,677,364

2² × 3 × 53 × 10499

6,677,364 has digital root 3. The neighboring primes are 6677357 and 6677389; its proper-divisor sum differs from the starting integer by 2,521,272.

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 10499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,876,000

Proper Divisor Sum 9,198,636

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6677357 ← → #6677389

Radix Representation

Decimal	6677364
Binary	11001011110001101110100 (23 bits)
Octal	0o31361564
Hexadecimal	0x65E374

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 10,499 20,998 31,497 41,996 62,994 125,988 556,447 1,112,894 1,669,341 2,225,788 3,338,682 6,677,364

Collatz Trajectory (116 steps to reach 1)

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

6,677,364 3,338,682 1,669,341 5,008,024 2,504,012 1,252,006 626,003 1,878,010 939,005 2,817,016 1,408,508 704,254 352,127 1,056,382 528,191 1,584,574 792,287 2,376,862 1,188,431 3,565,294 1,782,647 5,347,942 2,673,971 8,021,914 4,010,957 12,032,872 6,016,436 3,008,218 1,504,109 4,512,328 2,256,164 1,128,082 564,041 1,692,124 846,062 423,031 1,269,094 634,547 1,903,642 951,821 2,855,464 1,427,732 713,866 356,933 1,070,800 535,400 267,700 133,850 66,925 200,776 100,388 50,194 25,097 75,292 37,646 18,823 56,470 28,235 84,706 42,353

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