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Atlas › Integer Profiles › Node 16,680,432

16,680,432

24 × 3 × 347509
Abundant Even Composite

16,680,432 factors as 2^4 × 3 × 347509. Its 20 positive divisors give a proper-divisor sum of 26,410,808, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 347509
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 43,091,240
Proper Divisor Sum 26,410,808
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #16680403 ← → #16680457

Radix Representation

Decimal 16680432
Binary 111111101000010111110000 (24 bits)
Octal 0o77502760
Hexadecimal 0xFE85F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 347,509 695,018 1,042,527 1,390,036 2,085,054 2,780,072 4,170,108 5,560,144 8,340,216 16,680,432

Collatz Trajectory (76 steps to reach 1)

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

16,680,432 8,340,216 4,170,108 2,085,054 1,042,527 3,127,582 1,563,791 4,691,374 2,345,687 7,037,062 3,518,531 10,555,594 5,277,797 15,833,392 7,916,696 3,958,348 1,979,174 989,587 2,968,762 1,484,381 4,453,144 2,226,572 1,113,286 556,643 1,669,930 834,965 2,504,896 1,252,448 626,224 313,112 156,556 78,278 39,139 117,418 58,709 176,128 88,064 44,032 22,016 11,008 5,504 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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