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Atlas › Integer Profiles › Node 46,085,864

46,085,864

23 × 11 × 97 × 5399
Abundant Even Composite

46,085,864 factors as 2^3 × 11 × 97 × 5399. Its 32 positive divisors give a proper-divisor sum of 49,170,136, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 97 × 5399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,256,000
Proper Divisor Sum 49,170,136
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #46085857 ← → #46085869

Radix Representation

Decimal 46085864
Binary 10101111110011011011101000 (26 bits)
Octal 0o257633350
Hexadecimal 0x2BF36E8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 97 194 388 776 1,067 2,134 4,268 5,399 8,536 10,798 21,596 43,192 59,389 118,778 237,556 475,112 523,703 1,047,406 2,094,812 4,189,624 5,760,733 11,521,466 23,042,932 46,085,864

Collatz Trajectory (142 steps to reach 1)

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

46,085,864 23,042,932 11,521,466 5,760,733 17,282,200 8,641,100 4,320,550 2,160,275 6,480,826 3,240,413 9,721,240 4,860,620 2,430,310 1,215,155 3,645,466 1,822,733 5,468,200 2,734,100 1,367,050 683,525 2,050,576 1,025,288 512,644 256,322 128,161 384,484 192,242 96,121 288,364 144,182 72,091 216,274 108,137 324,412 162,206 81,103 243,310 121,655 364,966 182,483 547,450 273,725 821,176 410,588 205,294 102,647 307,942 153,971 461,914 230,957 692,872 346,436 173,218 86,609 259,828 129,914 64,957 194,872 97,436 48,718

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