2,223,504

2⁴ × 3³ × 5147

Starting at 2,223,504, the Collatz iteration reaches 1 after 148 steps. The first transition is 1111752; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5147

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 6,383,520

Proper Divisor Sum 4,160,016

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2223503 ← → #2223521

Radix Representation

Decimal	2223504
Binary	1000011110110110010000 (22 bits)
Octal	0o10366620
Hexadecimal	0x21ED90

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5,147 10,294 15,441 20,588 30,882 41,176 46,323 61,764 82,352 92,646 123,528 138,969 185,292 247,056 277,938 370,584 555,876 741,168 1,111,752 2,223,504

Collatz Trajectory (148 steps to reach 1)

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

2,223,504 1,111,752 555,876 277,938 138,969 416,908 208,454 104,227 312,682 156,341 469,024 234,512 117,256 58,628 29,314 14,657 43,972 21,986 10,993 32,980 16,490 8,245 24,736 12,368 6,184 3,092 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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