λ
Prime Ledger

2,682,409

1289 × 2081
Deficient Odd Composite

2,682,409 has the prime decomposition 1289 × 2081. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 1289 × 2081
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,685,780
Proper Divisor Sum 3,371
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2682397 ← → #2682457

Radix Representation

Decimal 2682409
Binary 1010001110111000101001 (22 bits)
Octal 0o12167051
Hexadecimal 0x28EE29

Divisor Catalog (4)

1 1,289 2,081 2,682,409

Collatz Trajectory (174 steps to reach 1)

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

2,682,409 8,047,228 4,023,614 2,011,807 6,035,422 3,017,711 9,053,134 4,526,567 13,579,702 6,789,851 20,369,554 10,184,777 30,554,332 15,277,166 7,638,583 22,915,750 11,457,875 34,373,626 17,186,813 51,560,440 25,780,220 12,890,110 6,445,055 19,335,166 9,667,583 29,002,750 14,501,375 43,504,126 21,752,063 65,256,190 32,628,095 97,884,286 48,942,143 146,826,430 73,413,215 220,239,646 110,119,823 330,359,470 165,179,735 495,539,206 247,769,603 743,308,810 371,654,405 1,114,963,216 557,481,608 278,740,804 139,370,402 69,685,201 209,055,604 104,527,802 52,263,901 156,791,704 78,395,852 39,197,926 19,598,963 58,796,890 29,398,445 88,195,336 44,097,668 22,048,834

More profiles

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