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Atlas › Integer Profiles › Node 7,789,166

7,789,166

2 × 7 × 11 × 37 × 1367
Deficient Even Composite

7,789,166 factors as 2 × 7 × 11 × 37 × 1367. Its 32 positive divisors give a proper-divisor sum of 7,182,226, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 37 × 1367
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,971,392
Proper Divisor Sum 7,182,226
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #7789147 ← → #7789181

Radix Representation

Decimal 7789166
Binary 11101101101101001101110 (23 bits)
Octal 0o35555156
Hexadecimal 0x76DA6E

Divisor Catalog (32)

1 2 7 11 14 22 37 74 77 154 259 407 518 814 1,367 2,734 2,849 5,698 9,569 15,037 19,138 30,074 50,579 101,158 105,259 210,518 354,053 556,369 708,106 1,112,738 3,894,583 7,789,166

Collatz Trajectory (155 steps to reach 1)

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

7,789,166 3,894,583 11,683,750 5,841,875 17,525,626 8,762,813 26,288,440 13,144,220 6,572,110 3,286,055 9,858,166 4,929,083 14,787,250 7,393,625 22,180,876 11,090,438 5,545,219 16,635,658 8,317,829 24,953,488 12,476,744 6,238,372 3,119,186 1,559,593 4,678,780 2,339,390 1,169,695 3,509,086 1,754,543 5,263,630 2,631,815 7,895,446 3,947,723 11,843,170 5,921,585 17,764,756 8,882,378 4,441,189 13,323,568 6,661,784 3,330,892 1,665,446 832,723 2,498,170 1,249,085 3,747,256 1,873,628 936,814 468,407 1,405,222 702,611 2,107,834 1,053,917 3,161,752 1,580,876 790,438 395,219 1,185,658 592,829 1,778,488

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