λ
Prime Ledger

4,346,780

22 × 5 × 217339
Abundant Even Composite

4,346,780 has the prime decomposition 2^2 × 5 × 217339. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 217339
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,128,280
Proper Divisor Sum 4,781,500
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #4346773 ← → #4346803

Radix Representation

Decimal 4346780
Binary 10000100101001110011100 (23 bits)
Octal 0o20451634
Hexadecimal 0x42539C

Divisor Catalog (12)

1 2 4 5 10 20 217,339 434,678 869,356 1,086,695 2,173,390 4,346,780

Collatz Trajectory (118 steps to reach 1)

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

4,346,780 2,173,390 1,086,695 3,260,086 1,630,043 4,890,130 2,445,065 7,335,196 3,667,598 1,833,799 5,501,398 2,750,699 8,252,098 4,126,049 12,378,148 6,189,074 3,094,537 9,283,612 4,641,806 2,320,903 6,962,710 3,481,355 10,444,066 5,222,033 15,666,100 7,833,050 3,916,525 11,749,576 5,874,788 2,937,394 1,468,697 4,406,092 2,203,046 1,101,523 3,304,570 1,652,285 4,956,856 2,478,428 1,239,214 619,607 1,858,822 929,411 2,788,234 1,394,117 4,182,352 2,091,176 1,045,588 522,794 261,397 784,192 392,096 196,048 98,024 49,012 24,506 12,253 36,760 18,380 9,190 4,595

More profiles

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