2,222,431

103 × 21577

Starting at 2,222,431, the Collatz iteration reaches 1 after 223 steps. The first transition is 6667294; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 103 × 21577

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,244,112

Proper Divisor Sum 21,681

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #2222387 ← → #2222443

Radix Representation

Decimal	2222431
Binary	1000011110100101011111 (22 bits)
Octal	0o10364537
Hexadecimal	0x21E95F

Divisor Catalog (4)

1 103 21,577 2,222,431

Collatz Trajectory (223 steps to reach 1)

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

2,222,431 6,667,294 3,333,647 10,000,942 5,000,471 15,001,414 7,500,707 22,502,122 11,251,061 33,753,184 16,876,592 8,438,296 4,219,148 2,109,574 1,054,787 3,164,362 1,582,181 4,746,544 2,373,272 1,186,636 593,318 296,659 889,978 444,989 1,334,968 667,484 333,742 166,871 500,614 250,307 750,922 375,461 1,126,384 563,192 281,596 140,798 70,399 211,198 105,599 316,798 158,399 475,198 237,599 712,798 356,399 1,069,198 534,599 1,603,798 801,899 2,405,698 1,202,849 3,608,548 1,804,274 902,137 2,706,412 1,353,206 676,603 2,029,810 1,014,905 3,044,716

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