λ
Prime Ledger

4,209,996

22 × 3 × 7 × 50119
Abundant Even Composite

4,209,996 has the prime decomposition 2^2 × 3 × 7 × 50119. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 50119
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,226,880
Proper Divisor Sum 7,016,884
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4209991 ← → #4210013

Radix Representation

Decimal 4209996
Binary 10000000011110101001100 (23 bits)
Octal 0o20036514
Hexadecimal 0x403D4C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 50,119 100,238 150,357 200,476 300,714 350,833 601,428 701,666 1,052,499 1,403,332 2,104,998 4,209,996

Collatz Trajectory (198 steps to reach 1)

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

4,209,996 2,104,998 1,052,499 3,157,498 1,578,749 4,736,248 2,368,124 1,184,062 592,031 1,776,094 888,047 2,664,142 1,332,071 3,996,214 1,998,107 5,994,322 2,997,161 8,991,484 4,495,742 2,247,871 6,743,614 3,371,807 10,115,422 5,057,711 15,173,134 7,586,567 22,759,702 11,379,851 34,139,554 17,069,777 51,209,332 25,604,666 12,802,333 38,407,000 19,203,500 9,601,750 4,800,875 14,402,626 7,201,313 21,603,940 10,801,970 5,400,985 16,202,956 8,101,478 4,050,739 12,152,218 6,076,109 18,228,328 9,114,164 4,557,082 2,278,541 6,835,624 3,417,812 1,708,906 854,453 2,563,360 1,281,680 640,840 320,420 160,210

More profiles

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