λ
Sigma Notebook

2,106,873

32 × 131 × 1787
Deficient Odd Composite

2,106,873 is odd and not a perfect square. Its factorization is 3^2 × 131 × 1787 and its 12 divisors sum to 3,068,208.

Prime Factor Structure

Factorization String 3^2 × 131 × 1787
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,068,208
Proper Divisor Sum 961,335
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2106857 ← → #2106877

Radix Representation

Decimal 2106873
Binary 1000000010010111111001 (22 bits)
Octal 0o10022771
Hexadecimal 0x2025F9

Divisor Catalog (12)

1 3 9 131 393 1,179 1,787 5,361 16,083 234,097 702,291 2,106,873

Collatz Trajectory (127 steps to reach 1)

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

2,106,873 6,320,620 3,160,310 1,580,155 4,740,466 2,370,233 7,110,700 3,555,350 1,777,675 5,333,026 2,666,513 7,999,540 3,999,770 1,999,885 5,999,656 2,999,828 1,499,914 749,957 2,249,872 1,124,936 562,468 281,234 140,617 421,852 210,926 105,463 316,390 158,195 474,586 237,293 711,880 355,940 177,970 88,985 266,956 133,478 66,739 200,218 100,109 300,328 150,164 75,082 37,541 112,624 56,312 28,156 14,078 7,039 21,118 10,559 31,678 15,839 47,518 23,759 71,278 35,639 106,918 53,459 160,378 80,189

More profiles

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