λ
Sigma Notebook

1,089,690

2 × 3 × 5 × 7 × 5189
Abundant Even Composite

1,089,690 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 7 × 5189 and its 32 divisors sum to 2,989,440.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 5189
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,989,440
Proper Divisor Sum 1,899,750
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1089679 ← → #1089703

Radix Representation

Decimal 1089690
Binary 100001010000010011010 (21 bits)
Octal 0o4120232
Hexadecimal 0x10A09A

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 5,189 10,378 15,567 25,945 31,134 36,323 51,890 72,646 77,835 108,969 155,670 181,615 217,938 363,230 544,845 1,089,690

Collatz Trajectory (165 steps to reach 1)

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

1,089,690 544,845 1,634,536 817,268 408,634 204,317 612,952 306,476 153,238 76,619 229,858 114,929 344,788 172,394 86,197 258,592 129,296 64,648 32,324 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524

More profiles

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