9,687,639

3 × 13 × 248401

9,687,639 factors as 3 × 13 × 248401. Its 8 positive divisors give a proper-divisor sum of 4,222,873, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 3 × 13 × 248401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,910,512

Proper Divisor Sum 4,222,873

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9687589 ← → #9687641

Radix Representation

Decimal	9687639
Binary	100100111101001001010111 (24 bits)
Octal	0o44751127
Hexadecimal	0x93D257

Divisor Catalog (8)

1 3 13 39 248,401 745,203 3,229,213 9,687,639

Collatz Trajectory (238 steps to reach 1)

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

9,687,639 29,062,918 14,531,459 43,594,378 21,797,189 65,391,568 32,695,784 16,347,892 8,173,946 4,086,973 12,260,920 6,130,460 3,065,230 1,532,615 4,597,846 2,298,923 6,896,770 3,448,385 10,345,156 5,172,578 2,586,289 7,758,868 3,879,434 1,939,717 5,819,152 2,909,576 1,454,788 727,394 363,697 1,091,092 545,546 272,773 818,320 409,160 204,580 102,290 51,145 153,436 76,718 38,359 115,078 57,539 172,618 86,309 258,928 129,464 64,732 32,366 16,183 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450

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