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31,229,538

2 × 3 × 23 × 97 × 2333
Abundant Even Composite

31,229,538 factors as 2 × 3 × 23 × 97 × 2333. Its 32 positive divisors give a proper-divisor sum of 34,645,278, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 97 × 2333
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,874,816
Proper Divisor Sum 34,645,278
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #31229537 ← → #31229579

Radix Representation

Decimal 31229538
Binary 1110111001000011001100010 (25 bits)
Octal 0o167103142
Hexadecimal 0x1DC8662

Divisor Catalog (32)

1 2 3 6 23 46 69 97 138 194 291 582 2,231 2,333 4,462 4,666 6,693 6,999 13,386 13,998 53,659 107,318 160,977 226,301 321,954 452,602 678,903 1,357,806 5,204,923 10,409,846 15,614,769 31,229,538

Collatz Trajectory (126 steps to reach 1)

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

31,229,538 15,614,769 46,844,308 23,422,154 11,711,077 35,133,232 17,566,616 8,783,308 4,391,654 2,195,827 6,587,482 3,293,741 9,881,224 4,940,612 2,470,306 1,235,153 3,705,460 1,852,730 926,365 2,779,096 1,389,548 694,774 347,387 1,042,162 521,081 1,563,244 781,622 390,811 1,172,434 586,217 1,758,652 879,326 439,663 1,318,990 659,495 1,978,486 989,243 2,967,730 1,483,865 4,451,596 2,225,798 1,112,899 3,338,698 1,669,349 5,008,048 2,504,024 1,252,012 626,006 313,003 939,010 469,505 1,408,516 704,258 352,129 1,056,388 528,194 264,097 792,292 396,146 198,073

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