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2,016,672

25 × 3 × 7 × 3001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 3001
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,052,032
Proper Divisor Sum 4,035,360
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2016671 ← → #2016673

Radix Representation

Decimal 2016672
Binary 111101100010110100000 (21 bits)
Octal 0o7542640
Hexadecimal 0x1EC5A0

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3,001 6,002 9,003 12,004 18,006 21,007 24,008 36,012 42,014 48,016 63,021 72,024 84,028 96,032 126,042 144,048 168,056 252,084 288,096 336,112 504,168 672,224 1,008,336 2,016,672

Collatz Trajectory (135 steps to reach 1)

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

2,016,672 1,008,336 504,168 252,084 126,042 63,021 189,064 94,532 47,266 23,633 70,900 35,450 17,725 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787

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