26,982,000

2⁴ × 3² × 5³ × 1499

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^3 × 1499

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 94,302,000

Proper Divisor Sum 67,320,000

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #26981993 ← → #26982001

Radix Representation

Decimal	26982000
Binary	1100110111011011001110000 (25 bits)
Octal	0o146733160
Hexadecimal	0x19BB670

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1,000 1,125 1,200 1,499 1,500 1,800 2,000 2,250 2,998 3,000 3,600 4,497 4,500

Collatz Trajectory (193 steps to reach 1)

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

26,982,000 13,491,000 6,745,500 3,372,750 1,686,375 5,059,126 2,529,563 7,588,690 3,794,345 11,383,036 5,691,518 2,845,759 8,537,278 4,268,639 12,805,918 6,402,959 19,208,878 9,604,439 28,813,318 14,406,659 43,219,978 21,609,989 64,829,968 32,414,984 16,207,492 8,103,746 4,051,873 12,155,620 6,077,810 3,038,905 9,116,716 4,558,358 2,279,179 6,837,538 3,418,769 10,256,308 5,128,154 2,564,077 7,692,232 3,846,116 1,923,058 961,529 2,884,588 1,442,294 721,147 2,163,442 1,081,721 3,245,164 1,622,582 811,291 2,433,874 1,216,937 3,650,812 1,825,406 912,703 2,738,110 1,369,055 4,107,166 2,053,583 6,160,750

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