2,826,009

3⁴ × 139 × 251

2,826,009 is odd and not a perfect square. Its factorization is 3^4 × 139 × 251 and its 20 divisors sum to 4,268,880.

Prime Factor Structure

Factorization String 3^4 × 139 × 251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,268,880

Proper Divisor Sum 1,442,871

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2825983 ← → #2826037

Radix Representation

Decimal	2826009
Binary	1010110001111100011001 (22 bits)
Octal	0o12617431
Hexadecimal	0x2B1F19

Divisor Catalog (20)

1 3 9 27 81 139 251 417 753 1,251 2,259 3,753 6,777 11,259 20,331 34,889 104,667 314,001 942,003 2,826,009

Collatz Trajectory (275 steps to reach 1)

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

2,826,009 8,478,028 4,239,014 2,119,507 6,358,522 3,179,261 9,537,784 4,768,892 2,384,446 1,192,223 3,576,670 1,788,335 5,365,006 2,682,503 8,047,510 4,023,755 12,071,266 6,035,633 18,106,900 9,053,450 4,526,725 13,580,176 6,790,088 3,395,044 1,697,522 848,761 2,546,284 1,273,142 636,571 1,909,714 954,857 2,864,572 1,432,286 716,143 2,148,430 1,074,215 3,222,646 1,611,323 4,833,970 2,416,985 7,250,956 3,625,478 1,812,739 5,438,218 2,719,109 8,157,328 4,078,664 2,039,332 1,019,666 509,833 1,529,500 764,750 382,375 1,147,126 573,563 1,720,690 860,345 2,581,036 1,290,518 645,259

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