6,789,825

3⁴ × 5² × 7 × 479

6,789,825 has digital root 9. The neighboring primes are 6789793 and 6789901; its proper-divisor sum differs from the starting integer by 824,190.

Prime Factor Structure

Factorization String 3^4 × 5^2 × 7 × 479

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 14,403,840

Proper Divisor Sum 7,614,015

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6789793 ← → #6789901

Radix Representation

Decimal	6789825
Binary	11001111001101011000001 (23 bits)
Octal	0o31715301
Hexadecimal	0x679AC1

Divisor Catalog (60)

1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 479 525 567 675 945 1,437 1,575 2,025 2,395 2,835 3,353 4,311 4,725 7,185 10,059 11,975 12,933 14,175 16,765 21,555 30,177 35,925 38,799 50,295 64,665 83,825 90,531 107,775 150,885 193,995 251,475 271,593 323,325 452,655 754,425 969,975 1,357,965 2,263,275 6,789,825

Collatz Trajectory (129 steps to reach 1)

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

6,789,825 20,369,476 10,184,738 5,092,369 15,277,108 7,638,554 3,819,277 11,457,832 5,728,916 2,864,458 1,432,229 4,296,688 2,148,344 1,074,172 537,086 268,543 805,630 402,815 1,208,446 604,223 1,812,670 906,335 2,719,006 1,359,503 4,078,510 2,039,255 6,117,766 3,058,883 9,176,650 4,588,325 13,764,976 6,882,488 3,441,244 1,720,622 860,311 2,580,934 1,290,467 3,871,402 1,935,701 5,807,104 2,903,552 1,451,776 725,888 362,944 181,472 90,736 45,368 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072

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