4,494,960

2⁴ × 3³ × 5 × 2081

4,494,960 factors as 2^4 × 3^3 × 5 × 2081. Its 80 positive divisors give a proper-divisor sum of 10,995,120, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 2081

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 15,490,080

Proper Divisor Sum 10,995,120

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4494947 ← → #4494961

Radix Representation

Decimal	4494960
Binary	10001001001011001110000 (23 bits)
Octal	0o21113160
Hexadecimal	0x449670

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1,080 2,081 2,160 4,162 6,243 8,324 10,405 12,486 16,648 18,729 20,810 24,972 31,215 33,296 37,458 41,620 49,944 56,187 62,430 74,916 83,240 93,645

Collatz Trajectory (211 steps to reach 1)

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

4,494,960 2,247,480 1,123,740 561,870 280,935 842,806 421,403 1,264,210 632,105 1,896,316 948,158 474,079 1,422,238 711,119 2,133,358 1,066,679 3,200,038 1,600,019 4,800,058 2,400,029 7,200,088 3,600,044 1,800,022 900,011 2,700,034 1,350,017 4,050,052 2,025,026 1,012,513 3,037,540 1,518,770 759,385 2,278,156 1,139,078 569,539 1,708,618 854,309 2,562,928 1,281,464 640,732 320,366 160,183 480,550 240,275 720,826 360,413 1,081,240 540,620 270,310 135,155 405,466 202,733 608,200 304,100 152,050 76,025 228,076 114,038 57,019 171,058

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