2,218,509

3⁴ × 61 × 449

Starting at 2,218,509, the Collatz iteration reaches 1 after 148 steps. The first transition is 6655528; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 61 × 449

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,375,900

Proper Divisor Sum 1,157,391

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2218451 ← → #2218519

Radix Representation

Decimal	2218509
Binary	1000011101101000001101 (22 bits)
Octal	0o10355015
Hexadecimal	0x21DA0D

Divisor Catalog (20)

1 3 9 27 61 81 183 449 549 1,347 1,647 4,041 4,941 12,123 27,389 36,369 82,167 246,501 739,503 2,218,509

Collatz Trajectory (148 steps to reach 1)

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

2,218,509 6,655,528 3,327,764 1,663,882 831,941 2,495,824 1,247,912 623,956 311,978 155,989 467,968 233,984 116,992 58,496 29,248 14,624 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

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