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Atlas › Integer Profiles › Node 1,644,516

1,644,516

22 × 33 × 15227
Abundant Even Composite

1,644,516 factors as 2^2 × 3^3 × 15227. Its 24 positive divisors give a proper-divisor sum of 2,619,324, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 15227
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,263,840
Proper Divisor Sum 2,619,324
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1644497 ← → #1644547

Radix Representation

Decimal 1644516
Binary 110010001011111100100 (21 bits)
Octal 0o6213744
Hexadecimal 0x1917E4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 15,227 30,454 45,681 60,908 91,362 137,043 182,724 274,086 411,129 548,172 822,258 1,644,516

Collatz Trajectory (114 steps to reach 1)

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

1,644,516 822,258 411,129 1,233,388 616,694 308,347 925,042 462,521 1,387,564 693,782 346,891 1,040,674 520,337 1,561,012 780,506 390,253 1,170,760 585,380 292,690 146,345 439,036 219,518 109,759 329,278 164,639 493,918 246,959 740,878 370,439 1,111,318 555,659 1,666,978 833,489 2,500,468 1,250,234 625,117 1,875,352 937,676 468,838 234,419 703,258 351,629 1,054,888 527,444 263,722 131,861 395,584 197,792 98,896 49,448 24,724 12,362 6,181 18,544 9,272 4,636 2,318 1,159 3,478 1,739

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