6,121,815

3 × 5 × 7² × 8329

6,121,815 is odd and not a perfect square. Its factorization is 3 × 5 × 7^2 × 8329 and its 24 divisors sum to 11,395,440.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 8329

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,395,440

Proper Divisor Sum 5,273,625

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6121807 ← → #6121847

Radix Representation

Decimal	6121815
Binary	10111010110100101010111 (23 bits)
Octal	0o27264527
Hexadecimal	0x5D6957

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 735 8,329 24,987 41,645 58,303 124,935 174,909 291,515 408,121 874,545 1,224,363 2,040,605 6,121,815

Collatz Trajectory (183 steps to reach 1)

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

6,121,815 18,365,446 9,182,723 27,548,170 13,774,085 41,322,256 20,661,128 10,330,564 5,165,282 2,582,641 7,747,924 3,873,962 1,936,981 5,810,944 2,905,472 1,452,736 726,368 363,184 181,592 90,796 45,398 22,699 68,098 34,049 102,148 51,074 25,537 76,612 38,306 19,153 57,460 28,730 14,365 43,096 21,548 10,774 5,387 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479

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