λ
Sigma Notebook

2,213,338

2 × 29 × 31 × 1231
Deficient Even Composite

2,213,338 is even and not a perfect square. Its factorization is 2 × 29 × 31 × 1231 and its 16 divisors sum to 3,548,160.

Prime Factor Structure

Factorization String 2 × 29 × 31 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,548,160
Proper Divisor Sum 1,334,822
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2213327 ← → #2213347

Radix Representation

Decimal 2213338
Binary 1000011100010111011010 (22 bits)
Octal 0o10342732
Hexadecimal 0x21C5DA

Divisor Catalog (16)

1 2 29 31 58 62 899 1,231 1,798 2,462 35,699 38,161 71,398 76,322 1,106,669 2,213,338

Collatz Trajectory (117 steps to reach 1)

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

2,213,338 1,106,669 3,320,008 1,660,004 830,002 415,001 1,245,004 622,502 311,251 933,754 466,877 1,400,632 700,316 350,158 175,079 525,238 262,619 787,858 393,929 1,181,788 590,894 295,447 886,342 443,171 1,329,514 664,757 1,994,272 997,136 498,568 249,284 124,642 62,321 186,964 93,482 46,741 140,224 70,112 35,056 17,528 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342

More profiles

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