6,931,125

3² × 5³ × 61 × 101

6,931,125 has the prime decomposition 3^2 × 5^3 × 61 × 101. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 61 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,825,072

Proper Divisor Sum 5,893,947

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6931117 ← → #6931129

Radix Representation

Decimal	6931125
Binary	11010011100001010110101 (23 bits)
Octal	0o32341265
Hexadecimal	0x69C2B5

Divisor Catalog (48)

1 3 5 9 15 25 45 61 75 101 125 183 225 303 305 375 505 549 909 915 1,125 1,515 1,525 2,525 2,745 4,545 4,575 6,161 7,575 7,625 12,625 13,725 18,483 22,725 22,875 30,805 37,875 55,449 68,625 92,415 113,625 154,025 277,245 462,075 770,125 1,386,225 2,310,375 6,931,125

Collatz Trajectory (147 steps to reach 1)

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

6,931,125 20,793,376 10,396,688 5,198,344 2,599,172 1,299,586 649,793 1,949,380 974,690 487,345 1,462,036 731,018 365,509 1,096,528 548,264 274,132 137,066 68,533 205,600 102,800 51,400 25,700 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206

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