λ
Prime Ledger

4,422,675

3 × 52 × 109 × 541
Deficient Odd Composite

4,422,675 has the prime decomposition 3 × 5^2 × 109 × 541. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 109 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,392,880
Proper Divisor Sum 2,970,205
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4422673 ← → #4422749

Radix Representation

Decimal 4422675
Binary 10000110111110000010011 (23 bits)
Octal 0o20676023
Hexadecimal 0x437C13

Divisor Catalog (24)

1 3 5 15 25 75 109 327 541 545 1,623 1,635 2,705 2,725 8,115 8,175 13,525 40,575 58,969 176,907 294,845 884,535 1,474,225 4,422,675

Collatz Trajectory (118 steps to reach 1)

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

4,422,675 13,268,026 6,634,013 19,902,040 9,951,020 4,975,510 2,487,755 7,463,266 3,731,633 11,194,900 5,597,450 2,798,725 8,396,176 4,198,088 2,099,044 1,049,522 524,761 1,574,284 787,142 393,571 1,180,714 590,357 1,771,072 885,536 442,768 221,384 110,692 55,346 27,673 83,020 41,510 20,755 62,266 31,133 93,400 46,700 23,350 11,675 35,026 17,513 52,540 26,270 13,135 39,406 19,703 59,110 29,555 88,666 44,333 133,000 66,500 33,250 16,625 49,876 24,938 12,469 37,408 18,704 9,352 4,676

More profiles

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