16,638,580

2² × 5 × 7 × 17 × 6991

16,638,580 factors as 2^2 × 5 × 7 × 17 × 6991. Its 48 positive divisors give a proper-divisor sum of 25,649,036, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 17 × 6991

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 42,287,616

Proper Divisor Sum 25,649,036

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #16638571 ← → #16638581

Radix Representation

Decimal	16638580
Binary	111111011110001001110100 (24 bits)
Octal	0o77361164
Hexadecimal	0xFDE274

Divisor Catalog (48)

Collatz Trajectory (187 steps to reach 1)

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

16,638,580 8,319,290 4,159,645 12,478,936 6,239,468 3,119,734 1,559,867 4,679,602 2,339,801 7,019,404 3,509,702 1,754,851 5,264,554 2,632,277 7,896,832 3,948,416 1,974,208 987,104 493,552 246,776 123,388 61,694 30,847 92,542 46,271 138,814 69,407 208,222 104,111 312,334 156,167 468,502 234,251 702,754 351,377 1,054,132 527,066 263,533 790,600 395,300 197,650 98,825 296,476 148,238 74,119 222,358 111,179 333,538 166,769 500,308 250,154 125,077 375,232 187,616 93,808 46,904 23,452 11,726 5,863 17,590

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