λ
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5,904,040

23 × 5 × 67 × 2203
Abundant Even Composite

5,904,040 factors as 2^3 × 5 × 67 × 2203. Its 32 positive divisors give a proper-divisor sum of 7,584,440, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 67 × 2203
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,488,480
Proper Divisor Sum 7,584,440
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5904013 ← → #5904089

Radix Representation

Decimal 5904040
Binary 10110100001011010101000 (23 bits)
Octal 0o26413250
Hexadecimal 0x5A16A8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 67 134 268 335 536 670 1,340 2,203 2,680 4,406 8,812 11,015 17,624 22,030 44,060 88,120 147,601 295,202 590,404 738,005 1,180,808 1,476,010 2,952,020 5,904,040

Collatz Trajectory (64 steps to reach 1)

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

5,904,040 2,952,020 1,476,010 738,005 2,214,016 1,107,008 553,504 276,752 138,376 69,188 34,594 17,297 51,892 25,946 12,973 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5

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