6,121,125

3² × 5³ × 5441

6,121,125 has the prime decomposition 3^2 × 5^3 × 5441. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 5441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,036,376

Proper Divisor Sum 4,915,251

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6121121 ← → #6121201

Radix Representation

Decimal	6121125
Binary	10111010110011010100101 (23 bits)
Octal	0o27263245
Hexadecimal	0x5D66A5

Divisor Catalog (24)

1 3 5 9 15 25 45 75 125 225 375 1,125 5,441 16,323 27,205 48,969 81,615 136,025 244,845 408,075 680,125 1,224,225 2,040,375 6,121,125

Collatz Trajectory (333 steps to reach 1)

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

6,121,125 18,363,376 9,181,688 4,590,844 2,295,422 1,147,711 3,443,134 1,721,567 5,164,702 2,582,351 7,747,054 3,873,527 11,620,582 5,810,291 17,430,874 8,715,437 26,146,312 13,073,156 6,536,578 3,268,289 9,804,868 4,902,434 2,451,217 7,353,652 3,676,826 1,838,413 5,515,240 2,757,620 1,378,810 689,405 2,068,216 1,034,108 517,054 258,527 775,582 387,791 1,163,374 581,687 1,745,062 872,531 2,617,594 1,308,797 3,926,392 1,963,196 981,598 490,799 1,472,398 736,199 2,208,598 1,104,299 3,312,898 1,656,449 4,969,348 2,484,674 1,242,337 3,727,012 1,863,506 931,753 2,795,260 1,397,630

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