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Atlas › Integer Profiles › Node 31,258,248

31,258,248

23 × 3 × 7 × 43 × 4327
Abundant Even Composite

31,258,248 factors as 2^3 × 3 × 7 × 43 × 4327. Its 64 positive divisors give a proper-divisor sum of 60,149,112, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 43 × 4327
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 91,407,360
Proper Divisor Sum 60,149,112
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #31258237 ← → #31258267

Radix Representation

Decimal 31258248
Binary 1110111001111011010001000 (25 bits)
Octal 0o167173210
Hexadecimal 0x1DCF688

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1,032 1,204 1,806 2,408 3,612 4,327 7,224 8,654 12,981 17,308 25,962 30,289 34,616 51,924 60,578 90,867 103,848 121,156 181,734 186,061 242,312 363,468 372,122 558,183 726,936 744,244 1,116,366 1,302,427 1,488,488 2,232,732 2,604,854 3,907,281 4,465,464 5,209,708

Collatz Trajectory (131 steps to reach 1)

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

31,258,248 15,629,124 7,814,562 3,907,281 11,721,844 5,860,922 2,930,461 8,791,384 4,395,692 2,197,846 1,098,923 3,296,770 1,648,385 4,945,156 2,472,578 1,236,289 3,708,868 1,854,434 927,217 2,781,652 1,390,826 695,413 2,086,240 1,043,120 521,560 260,780 130,390 65,195 195,586 97,793 293,380 146,690 73,345 220,036 110,018 55,009 165,028 82,514 41,257 123,772 61,886 30,943 92,830 46,415 139,246 69,623 208,870 104,435 313,306 156,653 469,960 234,980 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268

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