6,768,625

5³ × 173 × 313

6,768,625 has digital root 4. The neighboring primes are 6768607 and 6768631; its proper-divisor sum differs from the starting integer by -5,014,034.

Prime Factor Structure

Factorization String 5^3 × 173 × 313

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,523,216

Proper Divisor Sum 1,754,591

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6768607 ← → #6768631

Radix Representation

Decimal	6768625
Binary	11001110100011111110001 (23 bits)
Octal	0o31643761
Hexadecimal	0x6747F1

Divisor Catalog (16)

1 5 25 125 173 313 865 1,565 4,325 7,825 21,625 39,125 54,149 270,745 1,353,725 6,768,625

Collatz Trajectory (85 steps to reach 1)

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

6,768,625 20,305,876 10,152,938 5,076,469 15,229,408 7,614,704 3,807,352 1,903,676 951,838 475,919 1,427,758 713,879 2,141,638 1,070,819 3,212,458 1,606,229 4,818,688 2,409,344 1,204,672 602,336 301,168 150,584 75,292 37,646 18,823 56,470 28,235 84,706 42,353 127,060 63,530 31,765 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202

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