λ
Prime Ledger

2,642,605

5 × 7 × 75503
Deficient Odd Composite

2,642,605 has the prime decomposition 5 × 7 × 75503. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 75503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,624,192
Proper Divisor Sum 981,587
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2642603 ← → #2642609

Radix Representation

Decimal 2642605
Binary 1010000101001010101101 (22 bits)
Octal 0o12051255
Hexadecimal 0x2852AD

Divisor Catalog (8)

1 5 7 35 75,503 377,515 528,521 2,642,605

Collatz Trajectory (156 steps to reach 1)

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

2,642,605 7,927,816 3,963,908 1,981,954 990,977 2,972,932 1,486,466 743,233 2,229,700 1,114,850 557,425 1,672,276 836,138 418,069 1,254,208 627,104 313,552 156,776 78,388 39,194 19,597 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484

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