8,743,437

3³ × 71 × 4561

For 8,743,437, the 16 positive divisors have a total of 13,138,560. Removing 8,743,437 leaves 4,395,123, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 71 × 4561

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,138,560

Proper Divisor Sum 4,395,123

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8743421 ← → #8743447

Radix Representation

Decimal	8743437
Binary	100001010110101000001101 (24 bits)
Octal	0o41265015
Hexadecimal	0x856A0D

Divisor Catalog (16)

1 3 9 27 71 213 639 1,917 4,561 13,683 41,049 123,147 323,831 971,493 2,914,479 8,743,437

Collatz Trajectory (93 steps to reach 1)

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

8,743,437 26,230,312 13,115,156 6,557,578 3,278,789 9,836,368 4,918,184 2,459,092 1,229,546 614,773 1,844,320 922,160 461,080 230,540 115,270 57,635 172,906 86,453 259,360 129,680 64,840 32,420 16,210 8,105 24,316 12,158 6,079 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541

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