λ
Prime Ledger

6,771,140

22 × 5 × 83 × 4079
Abundant Even Composite

6,771,140 has the prime decomposition 2^2 × 5 × 83 × 4079. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 83 × 4079
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,394,240
Proper Divisor Sum 7,623,100
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6771139 ← → #6771143

Radix Representation

Decimal 6771140
Binary 11001110101000111000100 (23 bits)
Octal 0o31650704
Hexadecimal 0x6751C4

Divisor Catalog (24)

1 2 4 5 10 20 83 166 332 415 830 1,660 4,079 8,158 16,316 20,395 40,790 81,580 338,557 677,114 1,354,228 1,692,785 3,385,570 6,771,140

Collatz Trajectory (59 steps to reach 1)

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

6,771,140 3,385,570 1,692,785 5,078,356 2,539,178 1,269,589 3,808,768 1,904,384 952,192 476,096 238,048 119,024 59,512 29,756 14,878 7,439 22,318 11,159 33,478 16,739 50,218 25,109 75,328 37,664 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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