λ
Prime Ledger

3,351,750

2 × 3 × 53 × 41 × 109
Abundant Even Composite

3,351,750 has the prime decomposition 2 × 3 × 5^3 × 41 × 109. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 41 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,648,640
Proper Divisor Sum 5,296,890
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3351749 ← → #3351763

Radix Representation

Decimal 3351750
Binary 1100110010010011000110 (22 bits)
Octal 0o14622306
Hexadecimal 0x3324C6

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 25 30 41 50 75 82 109 123 125 150 205 218 246 250 327 375 410 545 615 654 750 1,025 1,090 1,230 1,635 2,050 2,725 3,075 3,270 4,469 5,125 5,450 6,150 8,175 8,938 10,250 13,407 13,625 15,375 16,350 22,345 26,814 27,250 30,750 40,875 44,690 67,035 81,750 111,725 134,070 223,450 335,175 558,625

Collatz Trajectory (146 steps to reach 1)

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

3,351,750 1,675,875 5,027,626 2,513,813 7,541,440 3,770,720 1,885,360 942,680 471,340 235,670 117,835 353,506 176,753 530,260 265,130 132,565 397,696 198,848 99,424 49,712 24,856 12,428 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

More profiles

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