2,113,232

2⁴ × 11 × 12007

2,113,232 factors as 2^4 × 11 × 12007. Its 20 positive divisors give a proper-divisor sum of 2,353,744, so this integer is abundant. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 12007

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,466,976

Proper Divisor Sum 2,353,744

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #2113229 ← → #2113249

Radix Representation

Decimal	2113232
Binary	1000000011111011010000 (22 bits)
Octal	0o10037320
Hexadecimal	0x203ED0

Divisor Catalog (20)

Collatz Trajectory (272 steps to reach 1)

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

2,113,232 1,056,616 528,308 264,154 132,077 396,232 198,116 99,058 49,529 148,588 74,294 37,147 111,442 55,721 167,164 83,582 41,791 125,374 62,687 188,062 94,031 282,094 141,047 423,142 211,571 634,714 317,357 952,072 476,036 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806 338,903 1,016,710 508,355 1,525,066 762,533 2,287,600 1,143,800 571,900 285,950 142,975 428,926 214,463 643,390 321,695 965,086 482,543

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