2,193,213

3 × 11 × 41 × 1621

Starting at 2,193,213, the Collatz iteration reaches 1 after 86 steps. The first transition is 6579640; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 41 × 1621

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,269,952

Proper Divisor Sum 1,076,739

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2193209 ← → #2193223

Radix Representation

Decimal	2193213
Binary	1000010111011100111101 (22 bits)
Octal	0o10273475
Hexadecimal	0x21773D

Divisor Catalog (16)

1 3 11 33 41 123 451 1,353 1,621 4,863 17,831 53,493 66,461 199,383 731,071 2,193,213

Collatz Trajectory (86 steps to reach 1)

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

2,193,213 6,579,640 3,289,820 1,644,910 822,455 2,467,366 1,233,683 3,701,050 1,850,525 5,551,576 2,775,788 1,387,894 693,947 2,081,842 1,040,921 3,122,764 1,561,382 780,691 2,342,074 1,171,037 3,513,112 1,756,556 878,278 439,139 1,317,418 658,709 1,976,128 988,064 494,032 247,016 123,508 61,754 30,877 92,632 46,316 23,158 11,579 34,738 17,369 52,108 26,054 13,027 39,082 19,541 58,624 29,312 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65

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