6,763,965

3 × 5 × 13 × 34687

6,763,965 has digital root 6. The neighboring primes are 6763903 and 6763979; its proper-divisor sum differs from the starting integer by -1,872,762.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 34687

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,655,168

Proper Divisor Sum 4,891,203

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6763903 ← → #6763979

Radix Representation

Decimal	6763965
Binary	11001110011010110111101 (23 bits)
Octal	0o31632675
Hexadecimal	0x6735BD

Divisor Catalog (16)

1 3 5 13 15 39 65 195 34,687 104,061 173,435 450,931 520,305 1,352,793 2,254,655 6,763,965

Collatz Trajectory (160 steps to reach 1)

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

6,763,965 20,291,896 10,145,948 5,072,974 2,536,487 7,609,462 3,804,731 11,414,194 5,707,097 17,121,292 8,560,646 4,280,323 12,840,970 6,420,485 19,261,456 9,630,728 4,815,364 2,407,682 1,203,841 3,611,524 1,805,762 902,881 2,708,644 1,354,322 677,161 2,031,484 1,015,742 507,871 1,523,614 761,807 2,285,422 1,142,711 3,428,134 1,714,067 5,142,202 2,571,101 7,713,304 3,856,652 1,928,326 964,163 2,892,490 1,446,245 4,338,736 2,169,368 1,084,684 542,342 271,171 813,514 406,757 1,220,272 610,136 305,068 152,534 76,267 228,802 114,401 343,204 171,602 85,801 257,404

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