λ
Prime Ledger

5,162,773

7 × 11 × 67049
Deficient Odd Composite

5,162,773 has the prime decomposition 7 × 11 × 67049. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 67049
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,436,800
Proper Divisor Sum 1,274,027
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5162767 ← → #5162777

Radix Representation

Decimal 5162773
Binary 10011101100011100010101 (23 bits)
Octal 0o23543425
Hexadecimal 0x4EC715

Divisor Catalog (8)

1 7 11 77 67,049 469,343 737,539 5,162,773

Collatz Trajectory (51 steps to reach 1)

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

5,162,773 15,488,320 7,744,160 3,872,080 1,936,040 968,020 484,010 242,005 726,016 363,008 181,504 90,752 45,376 22,688 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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