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5,776,782

2 × 3 × 112 × 73 × 109
Abundant Even Composite

5,776,782 factors as 2 × 3 × 11^2 × 73 × 109. Its 48 positive divisors give a proper-divisor sum of 7,214,658, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 73 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,991,440
Proper Divisor Sum 7,214,658
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5776759 ← → #5776783

Radix Representation

Decimal 5776782
Binary 10110000010010110001110 (23 bits)
Octal 0o26022616
Hexadecimal 0x58258E

Divisor Catalog (48)

1 2 3 6 11 22 33 66 73 109 121 146 218 219 242 327 363 438 654 726 803 1,199 1,606 2,398 2,409 3,597 4,818 7,194 7,957 8,833 13,189 15,914 17,666 23,871 26,378 26,499 39,567 47,742 52,998 79,134 87,527 175,054 262,581 525,162 962,797 1,925,594 2,888,391 5,776,782

Collatz Trajectory (121 steps to reach 1)

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

5,776,782 2,888,391 8,665,174 4,332,587 12,997,762 6,498,881 19,496,644 9,748,322 4,874,161 14,622,484 7,311,242 3,655,621 10,966,864 5,483,432 2,741,716 1,370,858 685,429 2,056,288 1,028,144 514,072 257,036 128,518 64,259 192,778 96,389 289,168 144,584 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019

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