4,444,006

2 × 7² × 137 × 331

4,444,006 factors as 2 × 7^2 × 137 × 331. Its 24 positive divisors give a proper-divisor sum of 3,390,530, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 137 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,834,536

Proper Divisor Sum 3,390,530

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #4444001 ← → #4444049

Radix Representation

Decimal	4444006
Binary	10000111100111101100110 (23 bits)
Octal	0o20747546
Hexadecimal	0x43CF66

Divisor Catalog (24)

Collatz Trajectory (180 steps to reach 1)

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

4,444,006 2,222,003 6,666,010 3,333,005 9,999,016 4,999,508 2,499,754 1,249,877 3,749,632 1,874,816 937,408 468,704 234,352 117,176 58,588 29,294 14,647 43,942 21,971 65,914 32,957 98,872 49,436 24,718 12,359 37,078 18,539 55,618 27,809 83,428 41,714 20,857 62,572 31,286 15,643 46,930 23,465 70,396 35,198 17,599 52,798 26,399 79,198 39,599 118,798 59,399 178,198 89,099 267,298 133,649 400,948 200,474 100,237 300,712 150,356 75,178 37,589 112,768 56,384 28,192

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