4,445,280

2⁵ × 3⁴ × 5 × 7³

Prime Factor Structure

Factorization String 2^5 × 3^4 × 5 × 7^3

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 18,295,200

Proper Divisor Sum 13,849,920

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4445267 ← → #4445281

Radix Representation

Decimal	4445280
Binary	10000111101010001100000 (23 bits)
Octal	0o20752140
Hexadecimal	0x43D460

Divisor Catalog (60 of 240)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 70 72 80 81 84 90 96 98 105 108 112 120 126 135 140 144 147 160 162 168 180 189 196 210 216 224 240

Collatz Trajectory (87 steps to reach 1)

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

4,445,280 2,222,640 1,111,320 555,660 277,830 138,915 416,746 208,373 625,120 312,560 156,280 78,140 39,070 19,535 58,606 29,303 87,910 43,955 131,866 65,933 197,800 98,900 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131

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