λ
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3,345,360

24 × 3 × 5 × 53 × 263
Abundant Even Composite

3,345,360 factors as 2^4 × 3 × 5 × 53 × 263. Its 80 positive divisors give a proper-divisor sum of 7,261,104, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 53 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 10,606,464
Proper Divisor Sum 7,261,104
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3345323 ← → #3345361

Radix Representation

Decimal 3345360
Binary 1100110000101111010000 (22 bits)
Octal 0o14605720
Hexadecimal 0x330BD0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 263 265 318 424 526 530 636 789 795 848 1,052 1,060 1,272 1,315 1,578 1,590 2,104 2,120 2,544 2,630 3,156 3,180 3,945 4,208 4,240 5,260 6,312 6,360 7,890 10,520 12,624 12,720 13,939 15,780 21,040 27,878

Collatz Trajectory (58 steps to reach 1)

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

3,345,360 1,672,680 836,340 418,170 209,085 627,256 313,628 156,814 78,407 235,222 117,611 352,834 176,417 529,252 264,626 132,313 396,940 198,470 99,235 297,706 148,853 446,560 223,280 111,640 55,820 27,910 13,955 41,866 20,933 62,800 31,400 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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