2,727,855

3² × 5 × 13 × 4663

2,727,855 has the prime decomposition 3^2 × 5 × 13 × 4663. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 4663

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,093,088

Proper Divisor Sum 2,365,233

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2727847 ← → #2727913

Radix Representation

Decimal	2727855
Binary	1010011001111110101111 (22 bits)
Octal	0o12317657
Hexadecimal	0x299FAF

Divisor Catalog (24)

1 3 5 9 13 15 39 45 65 117 195 585 4,663 13,989 23,315 41,967 60,619 69,945 181,857 209,835 303,095 545,571 909,285 2,727,855

Collatz Trajectory (112 steps to reach 1)

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

2,727,855 8,183,566 4,091,783 12,275,350 6,137,675 18,413,026 9,206,513 27,619,540 13,809,770 6,904,885 20,714,656 10,357,328 5,178,664 2,589,332 1,294,666 647,333 1,942,000 971,000 485,500 242,750 121,375 364,126 182,063 546,190 273,095 819,286 409,643 1,228,930 614,465 1,843,396 921,698 460,849 1,382,548 691,274 345,637 1,036,912 518,456 259,228 129,614 64,807 194,422 97,211 291,634 145,817 437,452 218,726 109,363 328,090 164,045 492,136 246,068 123,034 61,517 184,552 92,276 46,138 23,069 69,208 34,604 17,302

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