2,223,271

167 × 13313

Starting at 2,223,271, the Collatz iteration reaches 1 after 117 steps. The first transition is 6669814; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 167 × 13313

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,236,752

Proper Divisor Sum 13,481

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2223269 ← → #2223281

Radix Representation

Decimal	2223271
Binary	1000011110110010100111 (22 bits)
Octal	0o10366247
Hexadecimal	0x21ECA7

Divisor Catalog (4)

1 167 13,313 2,223,271

Collatz Trajectory (117 steps to reach 1)

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

2,223,271 6,669,814 3,334,907 10,004,722 5,002,361 15,007,084 7,503,542 3,751,771 11,255,314 5,627,657 16,882,972 8,441,486 4,220,743 12,662,230 6,331,115 18,993,346 9,496,673 28,490,020 14,245,010 7,122,505 21,367,516 10,683,758 5,341,879 16,025,638 8,012,819 24,038,458 12,019,229 36,057,688 18,028,844 9,014,422 4,507,211 13,521,634 6,760,817 20,282,452 10,141,226 5,070,613 15,211,840 7,605,920 3,802,960 1,901,480 950,740 475,370 237,685 713,056 356,528 178,264 89,132 44,566 22,283 66,850 33,425 100,276 50,138 25,069 75,208 37,604 18,802 9,401 28,204 14,102

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