7,180,236

2² × 3² × 7 × 28493

7,180,236 factors as 2^2 × 3^2 × 7 × 28493. Its 36 positive divisors give a proper-divisor sum of 13,563,396, so this integer is abundant. The Collatz stopping time is 328 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 28493

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,743,632

Proper Divisor Sum 13,563,396

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7180223 ← → #7180259

Radix Representation

Decimal	7180236
Binary	11011011000111111001100 (23 bits)
Octal	0o33307714
Hexadecimal	0x6D8FCC

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 28,493 56,986 85,479 113,972 170,958 199,451 256,437 341,916 398,902 512,874 598,353 797,804 1,025,748 1,196,706 1,795,059 2,393,412 3,590,118 7,180,236

Collatz Trajectory (328 steps to reach 1)

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

7,180,236 3,590,118 1,795,059 5,385,178 2,692,589 8,077,768 4,038,884 2,019,442 1,009,721 3,029,164 1,514,582 757,291 2,271,874 1,135,937 3,407,812 1,703,906 851,953 2,555,860 1,277,930 638,965 1,916,896 958,448 479,224 239,612 119,806 59,903 179,710 89,855 269,566 134,783 404,350 202,175 606,526 303,263 909,790 454,895 1,364,686 682,343 2,047,030 1,023,515 3,070,546 1,535,273 4,605,820 2,302,910 1,151,455 3,454,366 1,727,183 5,181,550 2,590,775 7,772,326 3,886,163 11,658,490 5,829,245 17,487,736 8,743,868 4,371,934 2,185,967 6,557,902 3,278,951 9,836,854

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