6,971,598

2 × 3² × 17 × 22783

6,971,598 factors as 2 × 3^2 × 17 × 22783. Its 24 positive divisors give a proper-divisor sum of 9,022,770, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 22783

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,994,368

Proper Divisor Sum 9,022,770

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6971579 ← → #6971603

Radix Representation

Decimal	6971598
Binary	11010100110000011001110 (23 bits)
Octal	0o32460316
Hexadecimal	0x6A60CE

Divisor Catalog (24)

Collatz Trajectory (266 steps to reach 1)

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

6,971,598 3,485,799 10,457,398 5,228,699 15,686,098 7,843,049 23,529,148 11,764,574 5,882,287 17,646,862 8,823,431 26,470,294 13,235,147 39,705,442 19,852,721 59,558,164 29,779,082 14,889,541 44,668,624 22,334,312 11,167,156 5,583,578 2,791,789 8,375,368 4,187,684 2,093,842 1,046,921 3,140,764 1,570,382 785,191 2,355,574 1,177,787 3,533,362 1,766,681 5,300,044 2,650,022 1,325,011 3,975,034 1,987,517 5,962,552 2,981,276 1,490,638 745,319 2,235,958 1,117,979 3,353,938 1,676,969 5,030,908 2,515,454 1,257,727 3,773,182 1,886,591 5,659,774 2,829,887 8,489,662 4,244,831 12,734,494 6,367,247 19,101,742 9,550,871

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