8,329,204

2² × 13 × 31 × 5167

8,329,204 factors as 2^2 × 13 × 31 × 5167. Its 24 positive divisors give a proper-divisor sum of 7,877,644, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 5167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,206,848

Proper Divisor Sum 7,877,644

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8329193 ← → #8329213

Radix Representation

Decimal	8329204
Binary	11111110001011111110100 (23 bits)
Octal	0o37613764
Hexadecimal	0x7F17F4

Divisor Catalog (24)

1 2 4 13 26 31 52 62 124 403 806 1,612 5,167 10,334 20,668 67,171 134,342 160,177 268,684 320,354 640,708 2,082,301 4,164,602 8,329,204

Collatz Trajectory (186 steps to reach 1)

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

8,329,204 4,164,602 2,082,301 6,246,904 3,123,452 1,561,726 780,863 2,342,590 1,171,295 3,513,886 1,756,943 5,270,830 2,635,415 7,906,246 3,953,123 11,859,370 5,929,685 17,789,056 8,894,528 4,447,264 2,223,632 1,111,816 555,908 277,954 138,977 416,932 208,466 104,233 312,700 156,350 78,175 234,526 117,263 351,790 175,895 527,686 263,843 791,530 395,765 1,187,296 593,648 296,824 148,412 74,206 37,103 111,310 55,655 166,966 83,483 250,450 125,225 375,676 187,838 93,919 281,758 140,879 422,638 211,319 633,958 316,979

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