6,879,500

2² × 5³ × 13759

6,879,500 factors as 2^2 × 5^3 × 13759. Its 24 positive divisors give a proper-divisor sum of 8,146,420, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 13759

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,025,920

Proper Divisor Sum 8,146,420

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6879491 ← → #6879511

Radix Representation

Decimal	6879500
Binary	11010001111100100001100 (23 bits)
Octal	0o32174414
Hexadecimal	0x68F90C

Divisor Catalog (24)

1 2 4 5 10 20 25 50 100 125 250 500 13,759 27,518 55,036 68,795 137,590 275,180 343,975 687,950 1,375,900 1,719,875 3,439,750 6,879,500

Collatz Trajectory (103 steps to reach 1)

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

6,879,500 3,439,750 1,719,875 5,159,626 2,579,813 7,739,440 3,869,720 1,934,860 967,430 483,715 1,451,146 725,573 2,176,720 1,088,360 544,180 272,090 136,045 408,136 204,068 102,034 51,017 153,052 76,526 38,263 114,790 57,395 172,186 86,093 258,280 129,140 64,570 32,285 96,856 48,428 24,214 12,107 36,322 18,161 54,484 27,242 13,621 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

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