46,616,980

2² × 5 × 2330849

46,616,980 factors as 2^2 × 5 × 2330849. Its 12 positive divisors give a proper-divisor sum of 51,278,720, so this integer is abundant. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 2330849

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 97,895,700

Proper Divisor Sum 51,278,720

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #46616953 ← → #46616987

Radix Representation

Decimal	46616980
Binary	10110001110101000110010100 (26 bits)
Octal	0o261650624
Hexadecimal	0x2C75194

Divisor Catalog (12)

1 2 4 5 10 20 2,330,849 4,661,698 9,323,396 11,654,245 23,308,490 46,616,980

Collatz Trajectory (186 steps to reach 1)

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

46,616,980 23,308,490 11,654,245 34,962,736 17,481,368 8,740,684 4,370,342 2,185,171 6,555,514 3,277,757 9,833,272 4,916,636 2,458,318 1,229,159 3,687,478 1,843,739 5,531,218 2,765,609 8,296,828 4,148,414 2,074,207 6,222,622 3,111,311 9,333,934 4,666,967 14,000,902 7,000,451 21,001,354 10,500,677 31,502,032 15,751,016 7,875,508 3,937,754 1,968,877 5,906,632 2,953,316 1,476,658 738,329 2,214,988 1,107,494 553,747 1,661,242 830,621 2,491,864 1,245,932 622,966 311,483 934,450 467,225 1,401,676 700,838 350,419 1,051,258 525,629 1,576,888 788,444 394,222 197,111 591,334 295,667

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