6,676,284

2² × 3 × 31 × 131 × 137

6,676,284 has the prime decomposition 2^2 × 3 × 31 × 131 × 137. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 131 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 16,321,536

Proper Divisor Sum 9,645,252

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6676273 ← → #6676301

Radix Representation

Decimal	6676284
Binary	11001011101111100111100 (23 bits)
Octal	0o31357474
Hexadecimal	0x65DF3C

Divisor Catalog (48)

1 2 3 4 6 12 31 62 93 124 131 137 186 262 274 372 393 411 524 548 786 822 1,572 1,644 4,061 4,247 8,122 8,494 12,183 12,741 16,244 16,988 17,947 24,366 25,482 35,894 48,732 50,964 53,841 71,788 107,682 215,364 556,357 1,112,714 1,669,071 2,225,428 3,338,142 6,676,284

Collatz Trajectory (90 steps to reach 1)

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

6,676,284 3,338,142 1,669,071 5,007,214 2,503,607 7,510,822 3,755,411 11,266,234 5,633,117 16,899,352 8,449,676 4,224,838 2,112,419 6,337,258 3,168,629 9,505,888 4,752,944 2,376,472 1,188,236 594,118 297,059 891,178 445,589 1,336,768 668,384 334,192 167,096 83,548 41,774 20,887 62,662 31,331 93,994 46,997 140,992 70,496 35,248 17,624 8,812 4,406 2,203 6,610 3,305 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177

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