λ
Prime Ledger

4,021,173

32 × 13 × 34369
Deficient Odd Composite

4,021,173 has the prime decomposition 3^2 × 13 × 34369. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 34369
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,255,340
Proper Divisor Sum 2,234,167
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4021153 ← → #4021177

Radix Representation

Decimal 4021173
Binary 1111010101101110110101 (22 bits)
Octal 0o17255665
Hexadecimal 0x3D5BB5

Divisor Catalog (12)

1 3 9 13 39 117 34,369 103,107 309,321 446,797 1,340,391 4,021,173

Collatz Trajectory (92 steps to reach 1)

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

4,021,173 12,063,520 6,031,760 3,015,880 1,507,940 753,970 376,985 1,130,956 565,478 282,739 848,218 424,109 1,272,328 636,164 318,082 159,041 477,124 238,562 119,281 357,844 178,922 89,461 268,384 134,192 67,096 33,548 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256

More profiles

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