λ
Sigma Notebook

1,190,826

2 × 32 × 7 × 13 × 727
Abundant Even Composite

1,190,826 is even and not a perfect square. Its factorization is 2 × 3^2 × 7 × 13 × 727 and its 48 divisors sum to 3,179,904.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 727
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,179,904
Proper Divisor Sum 1,989,078
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1190821 ← → #1190831

Radix Representation

Decimal 1190826
Binary 100100010101110101010 (21 bits)
Octal 0o4425652
Hexadecimal 0x122BAA

Divisor Catalog (48)

1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 727 819 1,454 1,638 2,181 4,362 5,089 6,543 9,451 10,178 13,086 15,267 18,902 28,353 30,534 45,801 56,706 66,157 85,059 91,602 132,314 170,118 198,471 396,942 595,413 1,190,826

Collatz Trajectory (41 steps to reach 1)

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

1,190,826 595,413 1,786,240 893,120 446,560 223,280 111,640 55,820 27,910 13,955 41,866 20,933 62,800 31,400 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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