λ
Sigma Notebook

1,785,006

2 × 32 × 131 × 757
Abundant Even Composite

1,785,006 is even and not a perfect square. Its factorization is 2 × 3^2 × 131 × 757 and its 24 divisors sum to 3,902,184.

Prime Factor Structure

Factorization String 2 × 3^2 × 131 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,902,184
Proper Divisor Sum 2,117,178
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1785001 ← → #1785019

Radix Representation

Decimal 1785006
Binary 110110011110010101110 (21 bits)
Octal 0o6636256
Hexadecimal 0x1B3CAE

Divisor Catalog (24)

1 2 3 6 9 18 131 262 393 757 786 1,179 1,514 2,271 2,358 4,542 6,813 13,626 99,167 198,334 297,501 595,002 892,503 1,785,006

Collatz Trajectory (65 steps to reach 1)

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

1,785,006 892,503 2,677,510 1,338,755 4,016,266 2,008,133 6,024,400 3,012,200 1,506,100 753,050 376,525 1,129,576 564,788 282,394 141,197 423,592 211,796 105,898 52,949 158,848 79,424 39,712 19,856 9,928 4,964 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

More profiles

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