8,133,723

3³ × 13 × 23173

For 8,133,723, the 16 positive divisors have a total of 12,977,440. Removing 8,133,723 leaves 4,843,717, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 13 × 23173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,977,440

Proper Divisor Sum 4,843,717

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8133707 ← → #8133731

Radix Representation

Decimal	8133723
Binary	11111000001110001011011 (23 bits)
Octal	0o37016133
Hexadecimal	0x7C1C5B

Divisor Catalog (16)

1 3 9 13 27 39 117 351 23,173 69,519 208,557 301,249 625,671 903,747 2,711,241 8,133,723

Collatz Trajectory (230 steps to reach 1)

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

8,133,723 24,401,170 12,200,585 36,601,756 18,300,878 9,150,439 27,451,318 13,725,659 41,176,978 20,588,489 61,765,468 30,882,734 15,441,367 46,324,102 23,162,051 69,486,154 34,743,077 104,229,232 52,114,616 26,057,308 13,028,654 6,514,327 19,542,982 9,771,491 29,314,474 14,657,237 43,971,712 21,985,856 10,992,928 5,496,464 2,748,232 1,374,116 687,058 343,529 1,030,588 515,294 257,647 772,942 386,471 1,159,414 579,707 1,739,122 869,561 2,608,684 1,304,342 652,171 1,956,514 978,257 2,934,772 1,467,386 733,693 2,201,080 1,100,540 550,270 275,135 825,406 412,703 1,238,110 619,055 1,857,166

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