λ
Modular Archive

8,011,242

2 × 32 × 445069
Abundant Even Composite

The decimal integer 8,011,242 is 11110100011110111101010 in binary (23 bits), 36436752 in octal and 7A3DEA in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 2 × 3^2 × 445069
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,357,730
Proper Divisor Sum 9,346,488
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #8011207 ← → #8011247

Radix Representation

Decimal 8011242
Binary 11110100011110111101010 (23 bits)
Octal 0o36436752
Hexadecimal 0x7A3DEA

Divisor Catalog (12)

1 2 3 6 9 18 445,069 890,138 1,335,207 2,670,414 4,005,621 8,011,242

Collatz Trajectory (204 steps to reach 1)

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

8,011,242 4,005,621 12,016,864 6,008,432 3,004,216 1,502,108 751,054 375,527 1,126,582 563,291 1,689,874 844,937 2,534,812 1,267,406 633,703 1,901,110 950,555 2,851,666 1,425,833 4,277,500 2,138,750 1,069,375 3,208,126 1,604,063 4,812,190 2,406,095 7,218,286 3,609,143 10,827,430 5,413,715 16,241,146 8,120,573 24,361,720 12,180,860 6,090,430 3,045,215 9,135,646 4,567,823 13,703,470 6,851,735 20,555,206 10,277,603 30,832,810 15,416,405 46,249,216 23,124,608 11,562,304 5,781,152 2,890,576 1,445,288 722,644 361,322 180,661 541,984 270,992 135,496 67,748 33,874 16,937 50,812

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