λ
Integer Codex

9,840,782

2 × 7 × 702913
Deficient Even Composite

For 9,840,782, the 8 positive divisors have a total of 16,869,936. Removing 9,840,782 leaves 7,029,154, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 702913
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,869,936
Proper Divisor Sum 7,029,154
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9840781 ← → #9840811

Radix Representation

Decimal 9840782
Binary 100101100010100010001110 (24 bits)
Octal 0o45424216
Hexadecimal 0x96288E

Divisor Catalog (8)

1 2 7 14 702,913 1,405,826 4,920,391 9,840,782

Collatz Trajectory (220 steps to reach 1)

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

9,840,782 4,920,391 14,761,174 7,380,587 22,141,762 11,070,881 33,212,644 16,606,322 8,303,161 24,909,484 12,454,742 6,227,371 18,682,114 9,341,057 28,023,172 14,011,586 7,005,793 21,017,380 10,508,690 5,254,345 15,763,036 7,881,518 3,940,759 11,822,278 5,911,139 17,733,418 8,866,709 26,600,128 13,300,064 6,650,032 3,325,016 1,662,508 831,254 415,627 1,246,882 623,441 1,870,324 935,162 467,581 1,402,744 701,372 350,686 175,343 526,030 263,015 789,046 394,523 1,183,570 591,785 1,775,356 887,678 443,839 1,331,518 665,759 1,997,278 998,639 2,995,918 1,497,959 4,493,878 2,246,939

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