8,517,249

3² × 13 × 72797

8,517,249 is odd and not a perfect square. Its factorization is 3^2 × 13 × 72797 and its 12 divisors sum to 13,249,236.

Prime Factor Structure

Factorization String 3^2 × 13 × 72797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,249,236

Proper Divisor Sum 4,731,987

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8517233 ← → #8517253

Radix Representation

Decimal	8517249
Binary	100000011111011010000001 (24 bits)
Octal	0o40373201
Hexadecimal	0x81F681

Divisor Catalog (12)

1 3 9 13 39 117 72,797 218,391 655,173 946,361 2,839,083 8,517,249

Collatz Trajectory (305 steps to reach 1)

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

8,517,249 25,551,748 12,775,874 6,387,937 19,163,812 9,581,906 4,790,953 14,372,860 7,186,430 3,593,215 10,779,646 5,389,823 16,169,470 8,084,735 24,254,206 12,127,103 36,381,310 18,190,655 54,571,966 27,285,983 81,857,950 40,928,975 122,786,926 61,393,463 184,180,390 92,090,195 276,270,586 138,135,293 414,405,880 207,202,940 103,601,470 51,800,735 155,402,206 77,701,103 233,103,310 116,551,655 349,654,966 174,827,483 524,482,450 262,241,225 786,723,676 393,361,838 196,680,919 590,042,758 295,021,379 885,064,138 442,532,069 1,327,596,208 663,798,104 331,899,052 165,949,526 82,974,763 248,924,290 124,462,145 373,386,436 186,693,218 93,346,609 280,039,828 140,019,914 70,009,957

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