7,201,642

2 × 7 × 17 × 30259

7,201,642 factors as 2 × 7 × 17 × 30259. Its 16 positive divisors give a proper-divisor sum of 5,870,678, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 30259

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,072,320

Proper Divisor Sum 5,870,678

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #7201639 ← → #7201651

Radix Representation

Decimal	7201642
Binary	11011011110001101101010 (23 bits)
Octal	0o33361552
Hexadecimal	0x6DE36A

Divisor Catalog (16)

1 2 7 14 17 34 119 238 30,259 60,518 211,813 423,626 514,403 1,028,806 3,600,821 7,201,642

Collatz Trajectory (142 steps to reach 1)

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

7,201,642 3,600,821 10,802,464 5,401,232 2,700,616 1,350,308 675,154 337,577 1,012,732 506,366 253,183 759,550 379,775 1,139,326 569,663 1,708,990 854,495 2,563,486 1,281,743 3,845,230 1,922,615 5,767,846 2,883,923 8,651,770 4,325,885 12,977,656 6,488,828 3,244,414 1,622,207 4,866,622 2,433,311 7,299,934 3,649,967 10,949,902 5,474,951 16,424,854 8,212,427 24,637,282 12,318,641 36,955,924 18,477,962 9,238,981 27,716,944 13,858,472 6,929,236 3,464,618 1,732,309 5,196,928 2,598,464 1,299,232 649,616 324,808 162,404 81,202 40,601 121,804 60,902 30,451 91,354 45,677

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