λ
Integer Codex

9,887,678

2 × 43 × 114973
Deficient Even Composite

For 9,887,678, the 8 positive divisors have a total of 15,176,568. Removing 9,887,678 leaves 5,288,890, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 43 × 114973
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,176,568
Proper Divisor Sum 5,288,890
Digit Sum / Digital Root 53 (Root: 8)
Adjacent Primes #9887663 ← → #9887681

Radix Representation

Decimal 9887678
Binary 100101101101111110111110 (24 bits)
Octal 0o45557676
Hexadecimal 0x96DFBE

Divisor Catalog (8)

1 2 43 86 114,973 229,946 4,943,839 9,887,678

Collatz Trajectory (145 steps to reach 1)

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

9,887,678 4,943,839 14,831,518 7,415,759 22,247,278 11,123,639 33,370,918 16,685,459 50,056,378 25,028,189 75,084,568 37,542,284 18,771,142 9,385,571 28,156,714 14,078,357 42,235,072 21,117,536 10,558,768 5,279,384 2,639,692 1,319,846 659,923 1,979,770 989,885 2,969,656 1,484,828 742,414 371,207 1,113,622 556,811 1,670,434 835,217 2,505,652 1,252,826 626,413 1,879,240 939,620 469,810 234,905 704,716 352,358 176,179 528,538 264,269 792,808 396,404 198,202 99,101 297,304 148,652 74,326 37,163 111,490 55,745 167,236 83,618 41,809 125,428 62,714

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