2,242,796

2² × 271 × 2069

Starting at 2,242,796, the Collatz iteration reaches 1 after 223 steps. The first transition is 1121398; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 271 × 2069

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,941,280

Proper Divisor Sum 1,698,484

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2242789 ← → #2242811

Radix Representation

Decimal	2242796
Binary	1000100011100011101100 (22 bits)
Octal	0o10434354
Hexadecimal	0x2238EC

Divisor Catalog (12)

1 2 4 271 542 1,084 2,069 4,138 8,276 560,699 1,121,398 2,242,796

Collatz Trajectory (223 steps to reach 1)

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

2,242,796 1,121,398 560,699 1,682,098 841,049 2,523,148 1,261,574 630,787 1,892,362 946,181 2,838,544 1,419,272 709,636 354,818 177,409 532,228 266,114 133,057 399,172 199,586 99,793 299,380 149,690 74,845 224,536 112,268 56,134 28,067 84,202 42,101 126,304 63,152 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375

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