47,321,016

2³ × 3 × 1971709

47,321,016 factors as 2^3 × 3 × 1971709. Its 16 positive divisors give a proper-divisor sum of 70,981,584, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 1971709

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 118,302,600

Proper Divisor Sum 70,981,584

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #47320993 ← → #47321017

Radix Representation

Decimal	47321016
Binary	10110100100000111110111000 (26 bits)
Octal	0o264407670
Hexadecimal	0x2D20FB8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 1,971,709 3,943,418 5,915,127 7,886,836 11,830,254 15,773,672 23,660,508 47,321,016

Collatz Trajectory (173 steps to reach 1)

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

47,321,016 23,660,508 11,830,254 5,915,127 17,745,382 8,872,691 26,618,074 13,309,037 39,927,112 19,963,556 9,981,778 4,990,889 14,972,668 7,486,334 3,743,167 11,229,502 5,614,751 16,844,254 8,422,127 25,266,382 12,633,191 37,899,574 18,949,787 56,849,362 28,424,681 85,274,044 42,637,022 21,318,511 63,955,534 31,977,767 95,933,302 47,966,651 143,899,954 71,949,977 215,849,932 107,924,966 53,962,483 161,887,450 80,943,725 242,831,176 121,415,588 60,707,794 30,353,897 91,061,692 45,530,846 22,765,423 68,296,270 34,148,135 102,444,406 51,222,203 153,666,610 76,833,305 230,499,916 115,249,958 57,624,979 172,874,938 86,437,469 259,312,408 129,656,204 64,828,102

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