8,496,216

2³ × 3² × 197 × 599

8,496,216 has the prime decomposition 2^3 × 3^2 × 197 × 599. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 197 × 599

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,166,000

Proper Divisor Sum 14,669,784

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8496193 ← → #8496227

Radix Representation

Decimal	8496216
Binary	100000011010010001011000 (24 bits)
Octal	0o40322130
Hexadecimal	0x81A458

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 599 788 1,182 1,198 1,576 1,773 1,797 2,364 2,396 3,546 3,594 4,728 4,792 5,391 7,092 7,188 10,782 14,184 14,376 21,564 43,128 118,003 236,006 354,009 472,012 708,018 944,024 1,062,027 1,416,036 2,124,054 2,832,072 4,248,108 8,496,216

Collatz Trajectory (168 steps to reach 1)

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

8,496,216 4,248,108 2,124,054 1,062,027 3,186,082 1,593,041 4,779,124 2,389,562 1,194,781 3,584,344 1,792,172 896,086 448,043 1,344,130 672,065 2,016,196 1,008,098 504,049 1,512,148 756,074 378,037 1,134,112 567,056 283,528 141,764 70,882 35,441 106,324 53,162 26,581 79,744 39,872 19,936 9,968 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250

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