4,496,481

3² × 11² × 4129

4,496,481 factors as 3^2 × 11^2 × 4129. Its 18 positive divisors give a proper-divisor sum of 2,644,289, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 3^2 × 11^2 × 4129

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 7,140,770

Proper Divisor Sum 2,644,289

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4496473 ← → #4496491

Radix Representation

Decimal	4496481
Binary	10001001001110001100001 (23 bits)
Octal	0o21116141
Hexadecimal	0x449C61

Divisor Catalog (18)

1 3 9 11 33 99 121 363 1,089 4,129 12,387 37,161 45,419 136,257 408,771 499,609 1,498,827 4,496,481

Collatz Trajectory (110 steps to reach 1)

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

4,496,481 13,489,444 6,744,722 3,372,361 10,117,084 5,058,542 2,529,271 7,587,814 3,793,907 11,381,722 5,690,861 17,072,584 8,536,292 4,268,146 2,134,073 6,402,220 3,201,110 1,600,555 4,801,666 2,400,833 7,202,500 3,601,250 1,800,625 5,401,876 2,700,938 1,350,469 4,051,408 2,025,704 1,012,852 506,426 253,213 759,640 379,820 189,910 94,955 284,866 142,433 427,300 213,650 106,825 320,476 160,238 80,119 240,358 120,179 360,538 180,269 540,808 270,404 135,202 67,601 202,804 101,402 50,701 152,104 76,052 38,026 19,013 57,040 28,520

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