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Atlas › Integer Profiles › Node 31,334,192

31,334,192

24 × 19 × 59 × 1747
Abundant Even Composite

31,334,192 factors as 2^4 × 19 × 59 × 1747. Its 40 positive divisors give a proper-divisor sum of 33,691,408, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 59 × 1747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 65,025,600
Proper Divisor Sum 33,691,408
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #31334189 ← → #31334197

Radix Representation

Decimal 31334192
Binary 1110111100001111100110000 (25 bits)
Octal 0o167417460
Hexadecimal 0x1DE1F30

Divisor Catalog (40)

1 2 4 8 16 19 38 59 76 118 152 236 304 472 944 1,121 1,747 2,242 3,494 4,484 6,988 8,968 13,976 17,936 27,952 33,193 66,386 103,073 132,772 206,146 265,544 412,292 531,088 824,584 1,649,168 1,958,387 3,916,774 7,833,548 15,667,096 31,334,192

Collatz Trajectory (95 steps to reach 1)

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

31,334,192 15,667,096 7,833,548 3,916,774 1,958,387 5,875,162 2,937,581 8,812,744 4,406,372 2,203,186 1,101,593 3,304,780 1,652,390 826,195 2,478,586 1,239,293 3,717,880 1,858,940 929,470 464,735 1,394,206 697,103 2,091,310 1,045,655 3,136,966 1,568,483 4,705,450 2,352,725 7,058,176 3,529,088 1,764,544 882,272 441,136 220,568 110,284 55,142 27,571 82,714 41,357 124,072 62,036 31,018 15,509 46,528 23,264 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922

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