λ
Integer Codex

2,106,322

2 × 439 × 2399
Deficient Even Composite

For 2,106,322, the 8 positive divisors have a total of 3,168,000. Removing 2,106,322 leaves 1,061,678, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 439 × 2399
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,168,000
Proper Divisor Sum 1,061,678
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #2106311 ← → #2106329

Radix Representation

Decimal 2106322
Binary 1000000010001111010010 (22 bits)
Octal 0o10021722
Hexadecimal 0x2023D2

Divisor Catalog (8)

1 2 439 878 2,399 4,798 1,053,161 2,106,322

Collatz Trajectory (272 steps to reach 1)

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

2,106,322 1,053,161 3,159,484 1,579,742 789,871 2,369,614 1,184,807 3,554,422 1,777,211 5,331,634 2,665,817 7,997,452 3,998,726 1,999,363 5,998,090 2,999,045 8,997,136 4,498,568 2,249,284 1,124,642 562,321 1,686,964 843,482 421,741 1,265,224 632,612 316,306 158,153 474,460 237,230 118,615 355,846 177,923 533,770 266,885 800,656 400,328 200,164 100,082 50,041 150,124 75,062 37,531 112,594 56,297 168,892 84,446 42,223 126,670 63,335 190,006 95,003 285,010 142,505 427,516 213,758 106,879 320,638 160,319 480,958

More profiles

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