2,233,010

2 × 5 × 13 × 89 × 193

Starting at 2,233,010, the Collatz iteration reaches 1 after 179 steps. The first transition is 1116505; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 89 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 4,399,920

Proper Divisor Sum 2,166,910

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #2233003 ← → #2233019

Radix Representation

Decimal	2233010
Binary	1000100001001010110010 (22 bits)
Octal	0o10411262
Hexadecimal	0x2212B2

Divisor Catalog (32)

1 2 5 10 13 26 65 89 130 178 193 386 445 890 965 1,157 1,930 2,314 2,509 5,018 5,785 11,570 12,545 17,177 25,090 34,354 85,885 171,770 223,301 446,602 1,116,505 2,233,010

Collatz Trajectory (179 steps to reach 1)

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

2,233,010 1,116,505 3,349,516 1,674,758 837,379 2,512,138 1,256,069 3,768,208 1,884,104 942,052 471,026 235,513 706,540 353,270 176,635 529,906 264,953 794,860 397,430 198,715 596,146 298,073 894,220 447,110 223,555 670,666 335,333 1,006,000 503,000 251,500 125,750 62,875 188,626 94,313 282,940 141,470 70,735 212,206 106,103 318,310 159,155 477,466 238,733 716,200 358,100 179,050 89,525 268,576 134,288 67,144 33,572 16,786 8,393 25,180 12,590 6,295 18,886 9,443 28,330 14,165

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