4,444,004

2² × 17 × 65353

4,444,004 has digital root 2. The neighboring primes are 4444001 and 4444049; its proper-divisor sum differs from the starting integer by -653,404.

Prime Factor Structure

Factorization String 2^2 × 17 × 65353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,234,604

Proper Divisor Sum 3,790,600

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4444001 ← → #4444049

Radix Representation

Decimal	4444004
Binary	10000111100111101100100 (23 bits)
Octal	0o20747544
Hexadecimal	0x43CF64

Divisor Catalog (12)

1 2 4 17 34 68 65,353 130,706 261,412 1,111,001 2,222,002 4,444,004

Collatz Trajectory (180 steps to reach 1)

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

4,444,004 2,222,002 1,111,001 3,333,004 1,666,502 833,251 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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