4,437,891

3² × 37 × 13327

4,437,891 has the prime decomposition 3^2 × 37 × 13327. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 37 × 13327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,584,032

Proper Divisor Sum 2,146,141

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4437883 ← → #4437911

Radix Representation

Decimal	4437891
Binary	10000111011011110000011 (23 bits)
Octal	0o20733603
Hexadecimal	0x43B783

Divisor Catalog (12)

1 3 9 37 111 333 13,327 39,981 119,943 493,099 1,479,297 4,437,891

Collatz Trajectory (180 steps to reach 1)

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

4,437,891 13,313,674 6,656,837 19,970,512 9,985,256 4,992,628 2,496,314 1,248,157 3,744,472 1,872,236 936,118 468,059 1,404,178 702,089 2,106,268 1,053,134 526,567 1,579,702 789,851 2,369,554 1,184,777 3,554,332 1,777,166 888,583 2,665,750 1,332,875 3,998,626 1,999,313 5,997,940 2,998,970 1,499,485 4,498,456 2,249,228 1,124,614 562,307 1,686,922 843,461 2,530,384 1,265,192 632,596 316,298 158,149 474,448 237,224 118,612 59,306 29,653 88,960 44,480 22,240 11,120 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696

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