4,480,944

2⁴ × 3 × 13 × 43 × 167

4,480,944 factors as 2^4 × 3 × 13 × 43 × 167. Its 80 positive divisors give a proper-divisor sum of 8,351,568, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 43 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 12,832,512

Proper Divisor Sum 8,351,568

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4480909 ← → #4480951

Radix Representation

Decimal	4480944
Binary	10001000101111110110000 (23 bits)
Octal	0o21057660
Hexadecimal	0x445FB0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 167 172 208 258 312 334 344 501 516 559 624 668 688 1,002 1,032 1,118 1,336 1,677 2,004 2,064 2,171 2,236 2,672 3,354 4,008 4,342 4,472 6,513 6,708 7,181 8,016 8,684 8,944 13,026 13,416 14,362 17,368 21,543 26,052 26,832

Collatz Trajectory (118 steps to reach 1)

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

4,480,944 2,240,472 1,120,236 560,118 280,059 840,178 420,089 1,260,268 630,134 315,067 945,202 472,601 1,417,804 708,902 354,451 1,063,354 531,677 1,595,032 797,516 398,758 199,379 598,138 299,069 897,208 448,604 224,302 112,151 336,454 168,227 504,682 252,341 757,024 378,512 189,256 94,628 47,314 23,657 70,972 35,486 17,743 53,230 26,615 79,846 39,923 119,770 59,885 179,656 89,828 44,914 22,457 67,372 33,686 16,843 50,530 25,265 75,796 37,898 18,949 56,848 28,424

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