λ
Modular Archive

2,016,288

25 × 32 × 7001
Abundant Even Composite

The decimal integer 2,016,288 is 111101100010000100000 in binary (21 bits), 7542040 in octal and 1EC420 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,734,638
Proper Divisor Sum 3,718,350
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2016281 ← → #2016293

Radix Representation

Decimal 2016288
Binary 111101100010000100000 (21 bits)
Octal 0o7542040
Hexadecimal 0x1EC420

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7,001 14,002 21,003 28,004 42,006 56,008 63,009 84,012 112,016 126,018 168,024 224,032 252,036 336,048 504,072 672,096 1,008,144 2,016,288

Collatz Trajectory (91 steps to reach 1)

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

2,016,288 1,008,144 504,072 252,036 126,018 63,009 189,028 94,514 47,257 141,772 70,886 35,443 106,330 53,165 159,496 79,748 39,874 19,937 59,812 29,906 14,953 44,860 22,430 11,215 33,646 16,823 50,470 25,235 75,706 37,853 113,560 56,780 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358

More profiles

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