λ
Ratio Atlas

4,076,019

32 × 103 × 4397
Deficient Odd Composite

4,076,019 factors as 3^2 × 103 × 4397. Its 12 positive divisors give a proper-divisor sum of 1,870,077, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3^2 × 103 × 4397
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,946,096
Proper Divisor Sum 1,870,077
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4076003 ← → #4076021

Radix Representation

Decimal 4076019
Binary 1111100011000111110011 (22 bits)
Octal 0o17430763
Hexadecimal 0x3E31F3

Divisor Catalog (12)

1 3 9 103 309 927 4,397 13,191 39,573 452,891 1,358,673 4,076,019

Collatz Trajectory (198 steps to reach 1)

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

4,076,019 12,228,058 6,114,029 18,342,088 9,171,044 4,585,522 2,292,761 6,878,284 3,439,142 1,719,571 5,158,714 2,579,357 7,738,072 3,869,036 1,934,518 967,259 2,901,778 1,450,889 4,352,668 2,176,334 1,088,167 3,264,502 1,632,251 4,896,754 2,448,377 7,345,132 3,672,566 1,836,283 5,508,850 2,754,425 8,263,276 4,131,638 2,065,819 6,197,458 3,098,729 9,296,188 4,648,094 2,324,047 6,972,142 3,486,071 10,458,214 5,229,107 15,687,322 7,843,661 23,530,984 11,765,492 5,882,746 2,941,373 8,824,120 4,412,060 2,206,030 1,103,015 3,309,046 1,654,523 4,963,570 2,481,785 7,445,356 3,722,678 1,861,339 5,584,018

More profiles

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