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Atlas › Integer Profiles › Node 32,348,888

32,348,888

23 × 11 × 13 × 28277
Abundant Even Composite

32,348,888 factors as 2^3 × 11 × 13 × 28277. Its 32 positive divisors give a proper-divisor sum of 38,911,672, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 28277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 71,260,560
Proper Divisor Sum 38,911,672
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #32348867 ← → #32348917

Radix Representation

Decimal 32348888
Binary 1111011011001101011011000 (25 bits)
Octal 0o173315330
Hexadecimal 0x1ED9AD8

Divisor Catalog (32)

1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1,144 28,277 56,554 113,108 226,216 311,047 367,601 622,094 735,202 1,244,188 1,470,404 2,488,376 2,940,808 4,043,611 8,087,222 16,174,444 32,348,888

Collatz Trajectory (188 steps to reach 1)

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

32,348,888 16,174,444 8,087,222 4,043,611 12,130,834 6,065,417 18,196,252 9,098,126 4,549,063 13,647,190 6,823,595 20,470,786 10,235,393 30,706,180 15,353,090 7,676,545 23,029,636 11,514,818 5,757,409 17,272,228 8,636,114 4,318,057 12,954,172 6,477,086 3,238,543 9,715,630 4,857,815 14,573,446 7,286,723 21,860,170 10,930,085 32,790,256 16,395,128 8,197,564 4,098,782 2,049,391 6,148,174 3,074,087 9,222,262 4,611,131 13,833,394 6,916,697 20,750,092 10,375,046 5,187,523 15,562,570 7,781,285 23,343,856 11,671,928 5,835,964 2,917,982 1,458,991 4,376,974 2,188,487 6,565,462 3,282,731 9,848,194 4,924,097 14,772,292 7,386,146

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