2,791,268

2² × 347 × 2011

Starting at 2,791,268, the Collatz iteration reaches 1 after 156 steps. The first transition is 1395634; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 347 × 2011

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,901,232

Proper Divisor Sum 2,109,964

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #2791267 ← → #2791297

Radix Representation

Decimal	2791268
Binary	1010101001011101100100 (22 bits)
Octal	0o12513544
Hexadecimal	0x2A9764

Divisor Catalog (12)

1 2 4 347 694 1,388 2,011 4,022 8,044 697,817 1,395,634 2,791,268

Collatz Trajectory (156 steps to reach 1)

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

2,791,268 1,395,634 697,817 2,093,452 1,046,726 523,363 1,570,090 785,045 2,355,136 1,177,568 588,784 294,392 147,196 73,598 36,799 110,398 55,199 165,598 82,799 248,398 124,199 372,598 186,299 558,898 279,449 838,348 419,174 209,587 628,762 314,381 943,144 471,572 235,786 117,893 353,680 176,840 88,420 44,210 22,105 66,316 33,158 16,579 49,738 24,869 74,608 37,304 18,652 9,326 4,663 13,990 6,995 20,986 10,493 31,480 15,740 7,870 3,935 11,806 5,903 17,710

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