4,084,171

7 × 13 × 37 × 1213

4,084,171 factors as 7 × 13 × 37 × 1213. Its 16 positive divisors give a proper-divisor sum of 1,082,613, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 7 × 13 × 37 × 1213

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,166,784

Proper Divisor Sum 1,082,613

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4084169 ← → #4084177

Radix Representation

Decimal	4084171
Binary	1111100101000111001011 (22 bits)
Octal	0o17450713
Hexadecimal	0x3E51CB

Divisor Catalog (16)

1 7 13 37 91 259 481 1,213 3,367 8,491 15,769 44,881 110,383 314,167 583,453 4,084,171

Collatz Trajectory (167 steps to reach 1)

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

4,084,171 12,252,514 6,126,257 18,378,772 9,189,386 4,594,693 13,784,080 6,892,040 3,446,020 1,723,010 861,505 2,584,516 1,292,258 646,129 1,938,388 969,194 484,597 1,453,792 726,896 363,448 181,724 90,862 45,431 136,294 68,147 204,442 102,221 306,664 153,332 76,666 38,333 115,000 57,500 28,750 14,375 43,126 21,563 64,690 32,345 97,036 48,518 24,259 72,778 36,389 109,168 54,584 27,292 13,646 6,823 20,470 10,235 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820 25,910

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