13,142,012

2² × 13 × 252731

13,142,012 factors as 2^2 × 13 × 252731. Its 12 positive divisors give a proper-divisor sum of 11,625,724, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 252731

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,767,736

Proper Divisor Sum 11,625,724

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #13142011 ← → #13142027

Radix Representation

Decimal	13142012
Binary	110010001000011111111100 (24 bits)
Octal	0o62103774
Hexadecimal	0xC887FC

Divisor Catalog (12)

1 2 4 13 26 52 252,731 505,462 1,010,924 3,285,503 6,571,006 13,142,012

Collatz Trajectory (228 steps to reach 1)

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

13,142,012 6,571,006 3,285,503 9,856,510 4,928,255 14,784,766 7,392,383 22,177,150 11,088,575 33,265,726 16,632,863 49,898,590 24,949,295 74,847,886 37,423,943 112,271,830 56,135,915 168,407,746 84,203,873 252,611,620 126,305,810 63,152,905 189,458,716 94,729,358 47,364,679 142,094,038 71,047,019 213,141,058 106,570,529 319,711,588 159,855,794 79,927,897 239,783,692 119,891,846 59,945,923 179,837,770 89,918,885 269,756,656 134,878,328 67,439,164 33,719,582 16,859,791 50,579,374 25,289,687 75,869,062 37,934,531 113,803,594 56,901,797 170,705,392 85,352,696 42,676,348 21,338,174 10,669,087 32,007,262 16,003,631 48,010,894 24,005,447 72,016,342 36,008,171 108,024,514

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