λ
Sigma Notebook

880,506

2 × 32 × 11 × 4447
Abundant Even Composite

880,506 is even and not a perfect square. Its factorization is 2 × 3^2 × 11 × 4447 and its 24 divisors sum to 2,081,664.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 4447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,081,664
Proper Divisor Sum 1,201,158
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #880487 ← → #880513

Radix Representation

Decimal 880506
Binary 11010110111101111010 (20 bits)
Octal 0o3267572
Hexadecimal 0xD6F7A

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 4,447 8,894 13,341 26,682 40,023 48,917 80,046 97,834 146,751 293,502 440,253 880,506

Collatz Trajectory (188 steps to reach 1)

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

880,506 440,253 1,320,760 660,380 330,190 165,095 495,286 247,643 742,930 371,465 1,114,396 557,198 278,599 835,798 417,899 1,253,698 626,849 1,880,548 940,274 470,137 1,410,412 705,206 352,603 1,057,810 528,905 1,586,716 793,358 396,679 1,190,038 595,019 1,785,058 892,529 2,677,588 1,338,794 669,397 2,008,192 1,004,096 502,048 251,024 125,512 62,756 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514

More profiles

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