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Atlas › Integer Profiles › Node 2,016,528

2,016,528

24 × 3 × 43 × 977
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 43 × 977
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,335,968
Proper Divisor Sum 3,319,440
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2016517 ← → #2016529

Radix Representation

Decimal 2016528
Binary 111101100010100010000 (21 bits)
Octal 0o7542420
Hexadecimal 0x1EC510

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 977 1,032 1,954 2,064 2,931 3,908 5,862 7,816 11,724 15,632 23,448 42,011 46,896 84,022 126,033 168,044 252,066 336,088 504,132 672,176 1,008,264 2,016,528

Collatz Trajectory (109 steps to reach 1)

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

2,016,528 1,008,264 504,132 252,066 126,033 378,100 189,050 94,525 283,576 141,788 70,894 35,447 106,342 53,171 159,514 79,757 239,272 119,636 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

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