λ
Sigma Notebook

7,206,734

2 × 41 × 87887
Deficient Even Composite

7,206,734 is even and not a perfect square. Its factorization is 2 × 41 × 87887 and its 8 divisors sum to 11,073,888.

Prime Factor Structure

Factorization String 2 × 41 × 87887
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,073,888
Proper Divisor Sum 3,867,154
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7206701 ← → #7206737

Radix Representation

Decimal 7206734
Binary 11011011111011101001110 (23 bits)
Octal 0o33373516
Hexadecimal 0x6DF74E

Divisor Catalog (8)

1 2 41 82 87,887 175,774 3,603,367 7,206,734

Collatz Trajectory (116 steps to reach 1)

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

7,206,734 3,603,367 10,810,102 5,405,051 16,215,154 8,107,577 24,322,732 12,161,366 6,080,683 18,242,050 9,121,025 27,363,076 13,681,538 6,840,769 20,522,308 10,261,154 5,130,577 15,391,732 7,695,866 3,847,933 11,543,800 5,771,900 2,885,950 1,442,975 4,328,926 2,164,463 6,493,390 3,246,695 9,740,086 4,870,043 14,610,130 7,305,065 21,915,196 10,957,598 5,478,799 16,436,398 8,218,199 24,654,598 12,327,299 36,981,898 18,490,949 55,472,848 27,736,424 13,868,212 6,934,106 3,467,053 10,401,160 5,200,580 2,600,290 1,300,145 3,900,436 1,950,218 975,109 2,925,328 1,462,664 731,332 365,666 182,833 548,500 274,250

More profiles

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