λ
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Atlas › Integer Profiles › Node 31,622,278

31,622,278

2 × 17 × 61 × 79 × 193
Deficient Even Composite

31,622,278 factors as 2 × 17 × 61 × 79 × 193. Its 32 positive divisors give a proper-divisor sum of 20,338,682, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2 × 17 × 61 × 79 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,960,960
Proper Divisor Sum 20,338,682
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #31622273 ← → #31622281

Radix Representation

Decimal 31622278
Binary 1111000101000010010000110 (25 bits)
Octal 0o170502206
Hexadecimal 0x1E28486

Divisor Catalog (32)

1 2 17 34 61 79 122 158 193 386 1,037 1,343 2,074 2,686 3,281 4,819 6,562 9,638 11,773 15,247 23,546 30,494 81,923 163,846 200,141 259,199 400,282 518,398 930,067 1,860,134 15,811,139 31,622,278

Collatz Trajectory (126 steps to reach 1)

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

31,622,278 15,811,139 47,433,418 23,716,709 71,150,128 35,575,064 17,787,532 8,893,766 4,446,883 13,340,650 6,670,325 20,010,976 10,005,488 5,002,744 2,501,372 1,250,686 625,343 1,876,030 938,015 2,814,046 1,407,023 4,221,070 2,110,535 6,331,606 3,165,803 9,497,410 4,748,705 14,246,116 7,123,058 3,561,529 10,684,588 5,342,294 2,671,147 8,013,442 4,006,721 12,020,164 6,010,082 3,005,041 9,015,124 4,507,562 2,253,781 6,761,344 3,380,672 1,690,336 845,168 422,584 211,292 105,646 52,823 158,470 79,235 237,706 118,853 356,560 178,280 89,140 44,570 22,285 66,856 33,428

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