λ
Sequence Observatory

2,221,123

479 × 4637
Deficient Odd Composite

Starting at 2,221,123, the Collatz iteration reaches 1 after 122 steps. The first transition is 6663370; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 479 × 4637
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,226,240
Proper Divisor Sum 5,117
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2221111 ← → #2221127

Radix Representation

Decimal 2221123
Binary 1000011110010001000011 (22 bits)
Octal 0o10362103
Hexadecimal 0x21E443

Divisor Catalog (4)

1 479 4,637 2,221,123

Collatz Trajectory (122 steps to reach 1)

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

2,221,123 6,663,370 3,331,685 9,995,056 4,997,528 2,498,764 1,249,382 624,691 1,874,074 937,037 2,811,112 1,405,556 702,778 351,389 1,054,168 527,084 263,542 131,771 395,314 197,657 592,972 296,486 148,243 444,730 222,365 667,096 333,548 166,774 83,387 250,162 125,081 375,244 187,622 93,811 281,434 140,717 422,152 211,076 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089

More profiles

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