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Atlas › Integer Profiles › Node 2,016,522

2,016,522

2 × 33 × 107 × 349
Abundant Even Composite

2,016,522 factors as 2 × 3^3 × 107 × 349. Its 32 positive divisors give a proper-divisor sum of 2,519,478, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 107 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,536,000
Proper Divisor Sum 2,519,478
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2016517 ← → #2016529

Radix Representation

Decimal 2016522
Binary 111101100010100001010 (21 bits)
Octal 0o7542412
Hexadecimal 0x1EC50A

Divisor Catalog (32)

1 2 3 6 9 18 27 54 107 214 321 349 642 698 963 1,047 1,926 2,094 2,889 3,141 5,778 6,282 9,423 18,846 37,343 74,686 112,029 224,058 336,087 672,174 1,008,261 2,016,522

Collatz Trajectory (228 steps to reach 1)

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

2,016,522 1,008,261 3,024,784 1,512,392 756,196 378,098 189,049 567,148 283,574 141,787 425,362 212,681 638,044 319,022 159,511 478,534 239,267 717,802 358,901 1,076,704 538,352 269,176 134,588 67,294 33,647 100,942 50,471 151,414 75,707 227,122 113,561 340,684 170,342 85,171 255,514 127,757 383,272 191,636 95,818 47,909 143,728 71,864 35,932 17,966 8,983 26,950 13,475 40,426 20,213 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796

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