9,707,243

7⁴ × 13 × 311

9,707,243 is odd and not a perfect square. Its factorization is 7^4 × 13 × 311 and its 20 divisors sum to 12,234,768.

Prime Factor Structure

Factorization String 7^4 × 13 × 311

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 12,234,768

Proper Divisor Sum 2,527,525

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9707227 ← → #9707251

Radix Representation

Decimal	9707243
Binary	100101000001111011101011 (24 bits)
Octal	0o45017353
Hexadecimal	0x941EEB

Divisor Catalog (20)

1 7 13 49 91 311 343 637 2,177 2,401 4,043 4,459 15,239 28,301 31,213 106,673 198,107 746,711 1,386,749 9,707,243

Collatz Trajectory (119 steps to reach 1)

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

9,707,243 29,121,730 14,560,865 43,682,596 21,841,298 10,920,649 32,761,948 16,380,974 8,190,487 24,571,462 12,285,731 36,857,194 18,428,597 55,285,792 27,642,896 13,821,448 6,910,724 3,455,362 1,727,681 5,183,044 2,591,522 1,295,761 3,887,284 1,943,642 971,821 2,915,464 1,457,732 728,866 364,433 1,093,300 546,650 273,325 819,976 409,988 204,994 102,497 307,492 153,746 76,873 230,620 115,310 57,655 172,966 86,483 259,450 129,725 389,176 194,588 97,294 48,647 145,942 72,971 218,914 109,457 328,372 164,186 82,093 246,280 123,140 61,570

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