λ
Harmonic Matrix

8,413,382

2 × 4206691
Deficient Even Composite

8,413,382 has digital root 2. The neighboring primes are 8413373 and 8413403; its proper-divisor sum differs from the starting integer by -4,206,688.

Prime Factor Structure

Factorization String 2 × 4206691
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,620,076
Proper Divisor Sum 4,206,694
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8413373 ← → #8413403

Radix Representation

Decimal 8413382
Binary 100000000110000011000110 (24 bits)
Octal 0o40060306
Hexadecimal 0x8060C6

Divisor Catalog (4)

1 2 4,206,691 8,413,382

Collatz Trajectory (155 steps to reach 1)

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

8,413,382 4,206,691 12,620,074 6,310,037 18,930,112 9,465,056 4,732,528 2,366,264 1,183,132 591,566 295,783 887,350 443,675 1,331,026 665,513 1,996,540 998,270 499,135 1,497,406 748,703 2,246,110 1,123,055 3,369,166 1,684,583 5,053,750 2,526,875 7,580,626 3,790,313 11,370,940 5,685,470 2,842,735 8,528,206 4,264,103 12,792,310 6,396,155 19,188,466 9,594,233 28,782,700 14,391,350 7,195,675 21,587,026 10,793,513 32,380,540 16,190,270 8,095,135 24,285,406 12,142,703 36,428,110 18,214,055 54,642,166 27,321,083 81,963,250 40,981,625 122,944,876 61,472,438 30,736,219 92,208,658 46,104,329 138,312,988 69,156,494

More profiles

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