7,345,382

2 × 11 × 59 × 5659

7,345,382 factors as 2 × 11 × 59 × 5659. Its 16 positive divisors give a proper-divisor sum of 4,880,218, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2 × 11 × 59 × 5659

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,225,600

Proper Divisor Sum 4,880,218

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7345363 ← → #7345423

Radix Representation

Decimal	7345382
Binary	11100000001010011100110 (23 bits)
Octal	0o34012346
Hexadecimal	0x7014E6

Divisor Catalog (16)

1 2 11 22 59 118 649 1,298 5,659 11,318 62,249 124,498 333,881 667,762 3,672,691 7,345,382

Collatz Trajectory (160 steps to reach 1)

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

7,345,382 3,672,691 11,018,074 5,509,037 16,527,112 8,263,556 4,131,778 2,065,889 6,197,668 3,098,834 1,549,417 4,648,252 2,324,126 1,162,063 3,486,190 1,743,095 5,229,286 2,614,643 7,843,930 3,921,965 11,765,896 5,882,948 2,941,474 1,470,737 4,412,212 2,206,106 1,103,053 3,309,160 1,654,580 827,290 413,645 1,240,936 620,468 310,234 155,117 465,352 232,676 116,338 58,169 174,508 87,254 43,627 130,882 65,441 196,324 98,162 49,081 147,244 73,622 36,811 110,434 55,217 165,652 82,826 41,413 124,240 62,120 31,060 15,530 7,765

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