41,589,342

2 × 3³ × 43 × 17911

41,589,342 factors as 2 × 3^3 × 43 × 17911. Its 32 positive divisors give a proper-divisor sum of 52,986,018, so this integer is abundant. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 43 × 17911

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 94,575,360

Proper Divisor Sum 52,986,018

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #41589337 ← → #41589343

Radix Representation

Decimal	41589342
Binary	10011110101001101001011110 (26 bits)
Octal	0o236515136
Hexadecimal	0x27A9A5E

Divisor Catalog (32)

Collatz Trajectory (235 steps to reach 1)

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

41,589,342 20,794,671 62,384,014 31,192,007 93,576,022 46,788,011 140,364,034 70,182,017 210,546,052 105,273,026 52,636,513 157,909,540 78,954,770 39,477,385 118,432,156 59,216,078 29,608,039 88,824,118 44,412,059 133,236,178 66,618,089 199,854,268 99,927,134 49,963,567 149,890,702 74,945,351 224,836,054 112,418,027 337,254,082 168,627,041 505,881,124 252,940,562 126,470,281 379,410,844 189,705,422 94,852,711 284,558,134 142,279,067 426,837,202 213,418,601 640,255,804 320,127,902 160,063,951 480,191,854 240,095,927 720,287,782 360,143,891 1,080,431,674 540,215,837 1,620,647,512 810,323,756 405,161,878 202,580,939 607,742,818 303,871,409 911,614,228 455,807,114 227,903,557 683,710,672 341,855,336

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