2,248,209

3³ × 83267

Starting at 2,248,209, the Collatz iteration reaches 1 after 109 steps. The first transition is 6744628; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 83267

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,330,720

Proper Divisor Sum 1,082,511

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2248187 ← → #2248223

Radix Representation

Decimal	2248209
Binary	1000100100111000010001 (22 bits)
Octal	0o10447021
Hexadecimal	0x224E11

Divisor Catalog (8)

1 3 9 27 83,267 249,801 749,403 2,248,209

Collatz Trajectory (109 steps to reach 1)

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

2,248,209 6,744,628 3,372,314 1,686,157 5,058,472 2,529,236 1,264,618 632,309 1,896,928 948,464 474,232 237,116 118,558 59,279 177,838 88,919 266,758 133,379 400,138 200,069 600,208 300,104 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261

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