λ
Prime Ledger

7,782,484

22 × 43 × 45247
Deficient Even Composite

7,782,484 has the prime decomposition 2^2 × 43 × 45247. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 43 × 45247
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,936,384
Proper Divisor Sum 6,153,900
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7782479 ← → #7782493

Radix Representation

Decimal 7782484
Binary 11101101100000001010100 (23 bits)
Octal 0o35540124
Hexadecimal 0x76C054

Divisor Catalog (12)

1 2 4 43 86 172 45,247 90,494 180,988 1,945,621 3,891,242 7,782,484

Collatz Trajectory (67 steps to reach 1)

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

7,782,484 3,891,242 1,945,621 5,836,864 2,918,432 1,459,216 729,608 364,804 182,402 91,201 273,604 136,802 68,401 205,204 102,602 51,301 153,904 76,952 38,476 19,238 9,619 28,858 14,429 43,288 21,644 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40

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