6,807,258

2 × 3² × 317 × 1193

6,807,258 factors as 2 × 3^2 × 317 × 1193. Its 24 positive divisors give a proper-divisor sum of 8,000,730, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 317 × 1193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,807,988

Proper Divisor Sum 8,000,730

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6807253 ← → #6807277

Radix Representation

Decimal	6807258
Binary	11001111101111011011010 (23 bits)
Octal	0o31757332
Hexadecimal	0x67DEDA

Divisor Catalog (24)

1 2 3 6 9 18 317 634 951 1,193 1,902 2,386 2,853 3,579 5,706 7,158 10,737 21,474 378,181 756,362 1,134,543 2,269,086 3,403,629 6,807,258

Collatz Trajectory (129 steps to reach 1)

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

6,807,258 3,403,629 10,210,888 5,105,444 2,552,722 1,276,361 3,829,084 1,914,542 957,271 2,871,814 1,435,907 4,307,722 2,153,861 6,461,584 3,230,792 1,615,396 807,698 403,849 1,211,548 605,774 302,887 908,662 454,331 1,362,994 681,497 2,044,492 1,022,246 511,123 1,533,370 766,685 2,300,056 1,150,028 575,014 287,507 862,522 431,261 1,293,784 646,892 323,446 161,723 485,170 242,585 727,756 363,878 181,939 545,818 272,909 818,728 409,364 204,682 102,341 307,024 153,512 76,756 38,378 19,189 57,568 28,784 14,392 7,196

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