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664,088

23 × 17 × 19 × 257
Abundant Even Composite

664,088 factors as 2^3 × 17 × 19 × 257. Its 32 positive divisors give a proper-divisor sum of 729,112, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 19 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,393,200
Proper Divisor Sum 729,112
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #664067 ← → #664091

Radix Representation

Decimal 664088
Binary 10100010001000011000 (20 bits)
Octal 0o2421030
Hexadecimal 0xA2218

Divisor Catalog (32)

1 2 4 8 17 19 34 38 68 76 136 152 257 323 514 646 1,028 1,292 2,056 2,584 4,369 4,883 8,738 9,766 17,476 19,532 34,952 39,064 83,011 166,022 332,044 664,088

Collatz Trajectory (92 steps to reach 1)

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

664,088 332,044 166,022 83,011 249,034 124,517 373,552 186,776 93,388 46,694 23,347 70,042 35,021 105,064 52,532 26,266 13,133 39,400 19,700 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118

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