λ
Prime Ledger

2,793,006

2 × 32 × 155167
Abundant Even Composite

2,793,006 has the prime decomposition 2 × 3^2 × 155167. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 155167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,051,552
Proper Divisor Sum 3,258,546
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2792989 ← → #2793013

Radix Representation

Decimal 2793006
Binary 1010101001111000101110 (22 bits)
Octal 0o12517056
Hexadecimal 0x2A9E2E

Divisor Catalog (12)

1 2 3 6 9 18 155,167 310,334 465,501 931,002 1,396,503 2,793,006

Collatz Trajectory (81 steps to reach 1)

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

2,793,006 1,396,503 4,189,510 2,094,755 6,284,266 3,142,133 9,426,400 4,713,200 2,356,600 1,178,300 589,150 294,575 883,726 441,863 1,325,590 662,795 1,988,386 994,193 2,982,580 1,491,290 745,645 2,236,936 1,118,468 559,234 279,617 838,852 419,426 209,713 629,140 314,570 157,285 471,856 235,928 117,964 58,982 29,491 88,474 44,237 132,712 66,356 33,178 16,589 49,768 24,884 12,442 6,221 18,664 9,332 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956

More profiles

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