8,042,948

2² × 67 × 30011

8,042,948 has the prime decomposition 2^2 × 67 × 30011. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 67 × 30011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,285,712

Proper Divisor Sum 6,242,764

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8042917 ← → #8042959

Radix Representation

Decimal	8042948
Binary	11110101011100111000100 (23 bits)
Octal	0o36534704
Hexadecimal	0x7AB9C4

Divisor Catalog (12)

1 2 4 67 134 268 30,011 60,022 120,044 2,010,737 4,021,474 8,042,948

Collatz Trajectory (111 steps to reach 1)

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

8,042,948 4,021,474 2,010,737 6,032,212 3,016,106 1,508,053 4,524,160 2,262,080 1,131,040 565,520 282,760 141,380 70,690 35,345 106,036 53,018 26,509 79,528 39,764 19,882 9,941 29,824 14,912 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

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