7,217,736

2³ × 3 × 300739

7,217,736 factors as 2^3 × 3 × 300739. Its 16 positive divisors give a proper-divisor sum of 10,826,664, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 300739

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,044,400

Proper Divisor Sum 10,826,664

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7217731 ← → #7217747

Radix Representation

Decimal	7217736
Binary	11011100010001001001000 (23 bits)
Octal	0o33421110
Hexadecimal	0x6E2248

Divisor Catalog (16)

1 2 3 4 6 8 12 24 300,739 601,478 902,217 1,202,956 1,804,434 2,405,912 3,608,868 7,217,736

Collatz Trajectory (173 steps to reach 1)

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

7,217,736 3,608,868 1,804,434 902,217 2,706,652 1,353,326 676,663 2,029,990 1,014,995 3,044,986 1,522,493 4,567,480 2,283,740 1,141,870 570,935 1,712,806 856,403 2,569,210 1,284,605 3,853,816 1,926,908 963,454 481,727 1,445,182 722,591 2,167,774 1,083,887 3,251,662 1,625,831 4,877,494 2,438,747 7,316,242 3,658,121 10,974,364 5,487,182 2,743,591 8,230,774 4,115,387 12,346,162 6,173,081 18,519,244 9,259,622 4,629,811 13,889,434 6,944,717 20,834,152 10,417,076 5,208,538 2,604,269 7,812,808 3,906,404 1,953,202 976,601 2,929,804 1,464,902 732,451 2,197,354 1,098,677 3,296,032 1,648,016

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