λ
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3,200,440

23 × 5 × 29 × 31 × 89
Abundant Even Composite

3,200,440 factors as 2^3 × 5 × 29 × 31 × 89. Its 64 positive divisors give a proper-divisor sum of 4,575,560, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 29 × 31 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,776,000
Proper Divisor Sum 4,575,560
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3200429 ← → #3200443

Radix Representation

Decimal 3200440
Binary 1100001101010110111000 (22 bits)
Octal 0o14152670
Hexadecimal 0x30D5B8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 29 31 40 58 62 89 116 124 145 155 178 232 248 290 310 356 445 580 620 712 890 899 1,160 1,240 1,780 1,798 2,581 2,759 3,560 3,596 4,495 5,162 5,518 7,192 8,990 10,324 11,036 12,905 13,795 17,980 20,648 22,072 25,810 27,590 35,960 51,620 55,180 80,011 103,240 110,360 160,022 320,044 400,055

Collatz Trajectory (164 steps to reach 1)

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

3,200,440 1,600,220 800,110 400,055 1,200,166 600,083 1,800,250 900,125 2,700,376 1,350,188 675,094 337,547 1,012,642 506,321 1,518,964 759,482 379,741 1,139,224 569,612 284,806 142,403 427,210 213,605 640,816 320,408 160,204 80,102 40,051 120,154 60,077 180,232 90,116 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94

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