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Atlas › Integer Profiles › Node 8,034,741

8,034,741

33 × 11 × 13 × 2081
Deficient Odd Composite

8,034,741 factors as 3^3 × 11 × 13 × 2081. Its 32 positive divisors give a proper-divisor sum of 5,956,299, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 13 × 2081
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,991,040
Proper Divisor Sum 5,956,299
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8034709 ← → #8034749

Radix Representation

Decimal 8034741
Binary 11110101001100110110101 (23 bits)
Octal 0o36514665
Hexadecimal 0x7A99B5

Divisor Catalog (32)

1 3 9 11 13 27 33 39 99 117 143 297 351 429 1,287 2,081 3,861 6,243 18,729 22,891 27,053 56,187 68,673 81,159 206,019 243,477 297,583 618,057 730,431 892,749 2,678,247 8,034,741

Collatz Trajectory (168 steps to reach 1)

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

8,034,741 24,104,224 12,052,112 6,026,056 3,013,028 1,506,514 753,257 2,259,772 1,129,886 564,943 1,694,830 847,415 2,542,246 1,271,123 3,813,370 1,906,685 5,720,056 2,860,028 1,430,014 715,007 2,145,022 1,072,511 3,217,534 1,608,767 4,826,302 2,413,151 7,239,454 3,619,727 10,859,182 5,429,591 16,288,774 8,144,387 24,433,162 12,216,581 36,649,744 18,324,872 9,162,436 4,581,218 2,290,609 6,871,828 3,435,914 1,717,957 5,153,872 2,576,936 1,288,468 644,234 322,117 966,352 483,176 241,588 120,794 60,397 181,192 90,596 45,298 22,649 67,948 33,974 16,987 50,962

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