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Atlas › Integer Profiles › Node 26,040

26,040

23 × 3 × 5 × 7 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 92,160
Proper Divisor Sum 66,120
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #26029 ← → #26041

Radix Representation

Decimal 26040
Binary 110010110111000 (15 bits)
Octal 0o62670
Hexadecimal 0x65B8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1,085 1,240 1,302 1,736 1,860 2,170 2,604 3,255 3,720 4,340 5,208

Collatz Trajectory (77 steps to reach 1)

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

26,040 13,020 6,510 3,255 9,766 4,883 14,650 7,325 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28

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