6,688,460

2² × 5 × 334423

6,688,460 factors as 2^2 × 5 × 334423. Its 12 positive divisors give a proper-divisor sum of 7,357,348, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 334423

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,045,808

Proper Divisor Sum 7,357,348

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6688457 ← → #6688471

Radix Representation

Decimal	6688460
Binary	11001100000111011001100 (23 bits)
Octal	0o31407314
Hexadecimal	0x660ECC

Divisor Catalog (12)

1 2 4 5 10 20 334,423 668,846 1,337,692 1,672,115 3,344,230 6,688,460

Collatz Trajectory (160 steps to reach 1)

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

6,688,460 3,344,230 1,672,115 5,016,346 2,508,173 7,524,520 3,762,260 1,881,130 940,565 2,821,696 1,410,848 705,424 352,712 176,356 88,178 44,089 132,268 66,134 33,067 99,202 49,601 148,804 74,402 37,201 111,604 55,802 27,901 83,704 41,852 20,926 10,463 31,390 15,695 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 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

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