9,813,447

3³ × 7 × 137 × 379

9,813,447 factors as 3^3 × 7 × 137 × 379. Its 32 positive divisors give a proper-divisor sum of 6,967,353, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 137 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,780,800

Proper Divisor Sum 6,967,353

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9813431 ← → #9813451

Radix Representation

Decimal	9813447
Binary	100101011011110111000111 (24 bits)
Octal	0o45336707
Hexadecimal	0x95BDC7

Divisor Catalog (32)

1 3 7 9 21 27 63 137 189 379 411 959 1,137 1,233 2,653 2,877 3,411 3,699 7,959 8,631 10,233 23,877 25,893 51,923 71,631 155,769 363,461 467,307 1,090,383 1,401,921 3,271,149 9,813,447

Collatz Trajectory (101 steps to reach 1)

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

9,813,447 29,440,342 14,720,171 44,160,514 22,080,257 66,240,772 33,120,386 16,560,193 49,680,580 24,840,290 12,420,145 37,260,436 18,630,218 9,315,109 27,945,328 13,972,664 6,986,332 3,493,166 1,746,583 5,239,750 2,619,875 7,859,626 3,929,813 11,789,440 5,894,720 2,947,360 1,473,680 736,840 368,420 184,210 92,105 276,316 138,158 69,079 207,238 103,619 310,858 155,429 466,288 233,144 116,572 58,286 29,143 87,430 43,715 131,146 65,573 196,720 98,360 49,180 24,590 12,295 36,886 18,443 55,330 27,665 82,996 41,498 20,749 62,248

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