2,241,109

13² × 89 × 149

Starting at 2,241,109, the Collatz iteration reaches 1 after 86 steps. The first transition is 6723328; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 89 × 149

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,470,500

Proper Divisor Sum 229,391

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #2241073 ← → #2241119

Radix Representation

Decimal	2241109
Binary	1000100011001001010101 (22 bits)
Octal	0o10431125
Hexadecimal	0x223255

Divisor Catalog (12)

1 13 89 149 169 1,157 1,937 13,261 15,041 25,181 172,393 2,241,109

Collatz Trajectory (86 steps to reach 1)

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

2,241,109 6,723,328 3,361,664 1,680,832 840,416 420,208 210,104 105,052 52,526 26,263 78,790 39,395 118,186 59,093 177,280 88,640 44,320 22,160 11,080 5,540 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67

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