λ
Prime Ledger

9,840,338

2 × 29 × 169661
Deficient Even Composite

9,840,338 has the prime decomposition 2 × 29 × 169661. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 29 × 169661
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,269,580
Proper Divisor Sum 5,429,242
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9840317 ← → #9840349

Radix Representation

Decimal 9840338
Binary 100101100010011011010010 (24 bits)
Octal 0o45423322
Hexadecimal 0x9626D2

Divisor Catalog (8)

1 2 29 58 169,661 339,322 4,920,169 9,840,338

Collatz Trajectory (238 steps to reach 1)

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

9,840,338 4,920,169 14,760,508 7,380,254 3,690,127 11,070,382 5,535,191 16,605,574 8,302,787 24,908,362 12,454,181 37,362,544 18,681,272 9,340,636 4,670,318 2,335,159 7,005,478 3,502,739 10,508,218 5,254,109 15,762,328 7,881,164 3,940,582 1,970,291 5,910,874 2,955,437 8,866,312 4,433,156 2,216,578 1,108,289 3,324,868 1,662,434 831,217 2,493,652 1,246,826 623,413 1,870,240 935,120 467,560 233,780 116,890 58,445 175,336 87,668 43,834 21,917 65,752 32,876 16,438 8,219 24,658 12,329 36,988 18,494 9,247 27,742 13,871 41,614 20,807 62,422

More profiles

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