4,437,484

2² × 37 × 29983

4,437,484 factors as 2^2 × 37 × 29983. Its 12 positive divisors give a proper-divisor sum of 3,538,260, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 29983

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,975,744

Proper Divisor Sum 3,538,260

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4437479 ← → #4437487

Radix Representation

Decimal	4437484
Binary	10000111011010111101100 (23 bits)
Octal	0o20732754
Hexadecimal	0x43B5EC

Divisor Catalog (12)

1 2 4 37 74 148 29,983 59,966 119,932 1,109,371 2,218,742 4,437,484

Collatz Trajectory (167 steps to reach 1)

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

4,437,484 2,218,742 1,109,371 3,328,114 1,664,057 4,992,172 2,496,086 1,248,043 3,744,130 1,872,065 5,616,196 2,808,098 1,404,049 4,212,148 2,106,074 1,053,037 3,159,112 1,579,556 789,778 394,889 1,184,668 592,334 296,167 888,502 444,251 1,332,754 666,377 1,999,132 999,566 499,783 1,499,350 749,675 2,249,026 1,124,513 3,373,540 1,686,770 843,385 2,530,156 1,265,078 632,539 1,897,618 948,809 2,846,428 1,423,214 711,607 2,134,822 1,067,411 3,202,234 1,601,117 4,803,352 2,401,676 1,200,838 600,419 1,801,258 900,629 2,701,888 1,350,944 675,472 337,736 168,868

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