λ
Prime Ledger

8,177,026

2 × 11 × 13 × 28591
Deficient Even Composite

8,177,026 has the prime decomposition 2 × 11 × 13 × 28591. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 28591
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,410,368
Proper Divisor Sum 6,233,342
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8177021 ← → #8177027

Radix Representation

Decimal 8177026
Binary 11111001100010110000010 (23 bits)
Octal 0o37142602
Hexadecimal 0x7CC582

Divisor Catalog (16)

1 2 11 13 22 26 143 286 28,591 57,182 314,501 371,683 629,002 743,366 4,088,513 8,177,026

Collatz Trajectory (199 steps to reach 1)

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

8,177,026 4,088,513 12,265,540 6,132,770 3,066,385 9,199,156 4,599,578 2,299,789 6,899,368 3,449,684 1,724,842 862,421 2,587,264 1,293,632 646,816 323,408 161,704 80,852 40,426 20,213 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650

More profiles

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