λ
Prime Ledger

2,727,114

2 × 3 × 13 × 34963
Abundant Even Composite

2,727,114 has the prime decomposition 2 × 3 × 13 × 34963. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 34963
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,873,952
Proper Divisor Sum 3,146,838
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2727113 ← → #2727119

Radix Representation

Decimal 2727114
Binary 1010011001110011001010 (22 bits)
Octal 0o12316312
Hexadecimal 0x299CCA

Divisor Catalog (16)

1 2 3 6 13 26 39 78 34,963 69,926 104,889 209,778 454,519 909,038 1,363,557 2,727,114

Collatz Trajectory (63 steps to reach 1)

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

2,727,114 1,363,557 4,090,672 2,045,336 1,022,668 511,334 255,667 767,002 383,501 1,150,504 575,252 287,626 143,813 431,440 215,720 107,860 53,930 26,965 80,896 40,448 20,224 10,112 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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