λ
Math Directory

3,509,085

3 × 5 × 233939
Deficient Odd Composite

3,509,085 factors as 3 × 5 × 233939. Its 8 positive divisors give a proper-divisor sum of 2,105,475, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 5 × 233939
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,614,560
Proper Divisor Sum 2,105,475
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3509081 ← → #3509113

Radix Representation

Decimal 3509085
Binary 1101011000101101011101 (22 bits)
Octal 0o15305535
Hexadecimal 0x358B5D

Divisor Catalog (8)

1 3 5 15 233,939 701,817 1,169,695 3,509,085

Collatz Trajectory (159 steps to reach 1)

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

3,509,085 10,527,256 5,263,628 2,631,814 1,315,907 3,947,722 1,973,861 5,921,584 2,960,792 1,480,396 740,198 370,099 1,110,298 555,149 1,665,448 832,724 416,362 208,181 624,544 312,272 156,136 78,068 39,034 19,517 58,552 29,276 14,638 7,319 21,958 10,979 32,938 16,469 49,408 24,704 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107

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