8,447,729

29 × 37 × 7873

8,447,729 factors as 29 × 37 × 7873. Its 8 positive divisors give a proper-divisor sum of 528,631, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 29 × 37 × 7873

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,976,360

Proper Divisor Sum 528,631

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8447713 ← → #8447731

Radix Representation

Decimal	8447729
Binary	100000001110011011110001 (24 bits)
Octal	0o40163361
Hexadecimal	0x80E6F1

Divisor Catalog (8)

1 29 37 1,073 7,873 228,317 291,301 8,447,729

Collatz Trajectory (75 steps to reach 1)

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

8,447,729 25,343,188 12,671,594 6,335,797 19,007,392 9,503,696 4,751,848 2,375,924 1,187,962 593,981 1,781,944 890,972 445,486 222,743 668,230 334,115 1,002,346 501,173 1,503,520 751,760 375,880 187,940 93,970 46,985 140,956 70,478 35,239 105,718 52,859 158,578 79,289 237,868 118,934 59,467 178,402 89,201 267,604 133,802 66,901 200,704 100,352 50,176 25,088 12,544 6,272 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7

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