λ
Prime Ledger

3,466,341

33 × 19 × 29 × 233
Deficient Odd Composite

3,466,341 has the prime decomposition 3^3 × 19 × 29 × 233. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 19 × 29 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,616,000
Proper Divisor Sum 2,149,659
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3466321 ← → #3466343

Radix Representation

Decimal 3466341
Binary 1101001110010001100101 (22 bits)
Octal 0o15162145
Hexadecimal 0x34E465

Divisor Catalog (32)

1 3 9 19 27 29 57 87 171 233 261 513 551 699 783 1,653 2,097 4,427 4,959 6,291 6,757 13,281 14,877 20,271 39,843 60,813 119,529 128,383 182,439 385,149 1,155,447 3,466,341

Collatz Trajectory (159 steps to reach 1)

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

3,466,341 10,399,024 5,199,512 2,599,756 1,299,878 649,939 1,949,818 974,909 2,924,728 1,462,364 731,182 365,591 1,096,774 548,387 1,645,162 822,581 2,467,744 1,233,872 616,936 308,468 154,234 77,117 231,352 115,676 57,838 28,919 86,758 43,379 130,138 65,069 195,208 97,604 48,802 24,401 73,204 36,602 18,301 54,904 27,452 13,726 6,863 20,590 10,295 30,886 15,443 46,330 23,165 69,496 34,748 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991

More profiles

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