λ
Zalai Atlas

3,500,205

3 × 5 × 233347
Deficient Odd Composite

3,500,205 has the prime decomposition 3 × 5 × 233347. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 233347
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,600,352
Proper Divisor Sum 2,100,147
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3500201 ← → #3500207

Radix Representation

Decimal 3500205
Binary 1101010110100010101101 (22 bits)
Octal 0o15264255
Hexadecimal 0x3568AD

Divisor Catalog (8)

1 3 5 15 233,347 700,041 1,166,735 3,500,205

Collatz Trajectory (71 steps to reach 1)

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

3,500,205 10,500,616 5,250,308 2,625,154 1,312,577 3,937,732 1,968,866 984,433 2,953,300 1,476,650 738,325 2,214,976 1,107,488 553,744 276,872 138,436 69,218 34,609 103,828 51,914 25,957 77,872 38,936 19,468 9,734 4,867 14,602 7,301 21,904 10,952 5,476 2,738 1,369 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106

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