λ
Prime Ledger

4,254,723

32 × 112 × 3907
Deficient Odd Composite

4,254,723 has the prime decomposition 3^2 × 11^2 × 3907. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11^2 × 3907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 6,756,932
Proper Divisor Sum 2,502,209
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4254707 ← → #4254739

Radix Representation

Decimal 4254723
Binary 10000001110110000000011 (23 bits)
Octal 0o20166003
Hexadecimal 0x40EC03

Divisor Catalog (18)

1 3 9 11 33 99 121 363 1,089 3,907 11,721 35,163 42,977 128,931 386,793 472,747 1,418,241 4,254,723

Collatz Trajectory (198 steps to reach 1)

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

4,254,723 12,764,170 6,382,085 19,146,256 9,573,128 4,786,564 2,393,282 1,196,641 3,589,924 1,794,962 897,481 2,692,444 1,346,222 673,111 2,019,334 1,009,667 3,029,002 1,514,501 4,543,504 2,271,752 1,135,876 567,938 283,969 851,908 425,954 212,977 638,932 319,466 159,733 479,200 239,600 119,800 59,900 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932 71,966 35,983 107,950 53,975 161,926

More profiles

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