2,772,306

2 × 3⁴ × 109 × 157

Starting at 2,772,306, the Collatz iteration reaches 1 after 262 steps. The first transition is 1386153; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 109 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 6,308,940

Proper Divisor Sum 3,536,634

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2772293 ← → #2772311

Radix Representation

Decimal	2772306
Binary	1010100100110101010010 (22 bits)
Octal	0o12446522
Hexadecimal	0x2A4D52

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 109 157 162 218 314 327 471 654 942 981 1,413 1,962 2,826 2,943 4,239 5,886 8,478 8,829 12,717 17,113 17,658 25,434 34,226 51,339 102,678 154,017 308,034 462,051 924,102 1,386,153 2,772,306

Collatz Trajectory (262 steps to reach 1)

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

2,772,306 1,386,153 4,158,460 2,079,230 1,039,615 3,118,846 1,559,423 4,678,270 2,339,135 7,017,406 3,508,703 10,526,110 5,263,055 15,789,166 7,894,583 23,683,750 11,841,875 35,525,626 17,762,813 53,288,440 26,644,220 13,322,110 6,661,055 19,983,166 9,991,583 29,974,750 14,987,375 44,962,126 22,481,063 67,443,190 33,721,595 101,164,786 50,582,393 151,747,180 75,873,590 37,936,795 113,810,386 56,905,193 170,715,580 85,357,790 42,678,895 128,036,686 64,018,343 192,055,030 96,027,515 288,082,546 144,041,273 432,123,820 216,061,910 108,030,955 324,092,866 162,046,433 486,139,300 243,069,650 121,534,825 364,604,476 182,302,238 91,151,119 273,453,358 136,726,679

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