λ
Prime Ledger

8,782,775

52 × 351311
Deficient Odd Composite

8,782,775 has the prime decomposition 5^2 × 351311. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 351311
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,890,672
Proper Divisor Sum 2,107,897
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8782759 ← → #8782777

Radix Representation

Decimal 8782775
Binary 100001100000001110110111 (24 bits)
Octal 0o41401667
Hexadecimal 0x8603B7

Divisor Catalog (6)

1 5 25 351,311 1,756,555 8,782,775

Collatz Trajectory (137 steps to reach 1)

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

8,782,775 26,348,326 13,174,163 39,522,490 19,761,245 59,283,736 29,641,868 14,820,934 7,410,467 22,231,402 11,115,701 33,347,104 16,673,552 8,336,776 4,168,388 2,084,194 1,042,097 3,126,292 1,563,146 781,573 2,344,720 1,172,360 586,180 293,090 146,545 439,636 219,818 109,909 329,728 164,864 82,432 41,216 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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