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Atlas › Integer Profiles › Node 16,643,232

16,643,232

25 × 34 × 6421
Abundant Even Composite

16,643,232 factors as 2^5 × 3^4 × 6421. Its 60 positive divisors give a proper-divisor sum of 32,311,674, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^5 × 3^4 × 6421
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 48,954,906
Proper Divisor Sum 32,311,674
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #16643227 ← → #16643233

Radix Representation

Decimal 16643232
Binary 111111011111010010100000 (24 bits)
Octal 0o77372240
Hexadecimal 0xFDF4A0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1,296 2,592 6,421 12,842 19,263 25,684 38,526 51,368 57,789 77,052 102,736 115,578 154,104 173,367 205,472 231,156 308,208 346,734 462,312 520,101 616,416 693,468 924,624 1,040,202 1,386,936 1,849,248 2,080,404 2,773,872 4,160,808 5,547,744 8,321,616 16,643,232

Collatz Trajectory (156 steps to reach 1)

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

16,643,232 8,321,616 4,160,808 2,080,404 1,040,202 520,101 1,560,304 780,152 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002 1,874,501 5,623,504 2,811,752 1,405,876 702,938 351,469 1,054,408 527,204 263,602 131,801 395,404 197,702 98,851 296,554 148,277 444,832 222,416 111,208 55,604 27,802 13,901 41,704 20,852 10,426 5,213 15,640 7,820 3,910 1,955 5,866 2,933

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