λ
Harmonic Matrix

4,437,209

7 × 67 × 9461
Deficient Odd Composite

4,437,209 has digital root 2. The neighboring primes are 4437197 and 4437211; its proper-divisor sum differs from the starting integer by -3,727,090.

Prime Factor Structure

Factorization String 7 × 67 × 9461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,147,328
Proper Divisor Sum 710,119
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4437197 ← → #4437211

Radix Representation

Decimal 4437209
Binary 10000111011010011011001 (23 bits)
Octal 0o20732331
Hexadecimal 0x43B4D9

Divisor Catalog (8)

1 7 67 469 9,461 66,227 633,887 4,437,209

Collatz Trajectory (136 steps to reach 1)

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

4,437,209 13,311,628 6,655,814 3,327,907 9,983,722 4,991,861 14,975,584 7,487,792 3,743,896 1,871,948 935,974 467,987 1,403,962 701,981 2,105,944 1,052,972 526,486 263,243 789,730 394,865 1,184,596 592,298 296,149 888,448 444,224 222,112 111,056 55,528 27,764 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788 4,394 2,197 6,592 3,296 1,648 824 412 206 103 310 155 466 233 700 350 175 526 263 790

More profiles

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