λ
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3,358,280

23 × 5 × 59 × 1423
Abundant Even Composite

3,358,280 factors as 2^3 × 5 × 59 × 1423. Its 32 positive divisors give a proper-divisor sum of 4,331,320, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 59 × 1423
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,689,600
Proper Divisor Sum 4,331,320
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3358249 ← → #3358297

Radix Representation

Decimal 3358280
Binary 1100110011111001001000 (22 bits)
Octal 0o14637110
Hexadecimal 0x333E48

Divisor Catalog (32)

1 2 4 5 8 10 20 40 59 118 236 295 472 590 1,180 1,423 2,360 2,846 5,692 7,115 11,384 14,230 28,460 56,920 83,957 167,914 335,828 419,785 671,656 839,570 1,679,140 3,358,280

Collatz Trajectory (58 steps to reach 1)

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

3,358,280 1,679,140 839,570 419,785 1,259,356 629,678 314,839 944,518 472,259 1,416,778 708,389 2,125,168 1,062,584 531,292 265,646 132,823 398,470 199,235 597,706 298,853 896,560 448,280 224,140 112,070 56,035 168,106 84,053 252,160 126,080 63,040 31,520 15,760 7,880 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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