6,780,850

2 × 5² × 135617

6,780,850 factors as 2 × 5^2 × 135617. Its 12 positive divisors give a proper-divisor sum of 5,831,624, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 135617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,612,474

Proper Divisor Sum 5,831,624

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6780833 ← → #6780857

Radix Representation

Decimal	6780850
Binary	11001110111011110110010 (23 bits)
Octal	0o31673662
Hexadecimal	0x6777B2

Divisor Catalog (12)

1 2 5 10 25 50 135,617 271,234 678,085 1,356,170 3,390,425 6,780,850

Collatz Trajectory (129 steps to reach 1)

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

6,780,850 3,390,425 10,171,276 5,085,638 2,542,819 7,628,458 3,814,229 11,442,688 5,721,344 2,860,672 1,430,336 715,168 357,584 178,792 89,396 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180

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