λ
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3,375,810

2 × 33 × 5 × 12503
Abundant Even Composite

3,375,810 factors as 2 × 3^3 × 5 × 12503. Its 32 positive divisors give a proper-divisor sum of 5,627,070, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 12503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,002,880
Proper Divisor Sum 5,627,070
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3375793 ← → #3375811

Radix Representation

Decimal 3375810
Binary 1100111000001011000010 (22 bits)
Octal 0o14701302
Hexadecimal 0x3382C2

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 12,503 25,006 37,509 62,515 75,018 112,527 125,030 187,545 225,054 337,581 375,090 562,635 675,162 1,125,270 1,687,905 3,375,810

Collatz Trajectory (107 steps to reach 1)

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

3,375,810 1,687,905 5,063,716 2,531,858 1,265,929 3,797,788 1,898,894 949,447 2,848,342 1,424,171 4,272,514 2,136,257 6,408,772 3,204,386 1,602,193 4,806,580 2,403,290 1,201,645 3,604,936 1,802,468 901,234 450,617 1,351,852 675,926 337,963 1,013,890 506,945 1,520,836 760,418 380,209 1,140,628 570,314 285,157 855,472 427,736 213,868 106,934 53,467 160,402 80,201 240,604 120,302 60,151 180,454 90,227 270,682 135,341 406,024 203,012 101,506 50,753 152,260 76,130 38,065 114,196 57,098 28,549 85,648 42,824 21,412

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