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Atlas › Integer Profiles › Node 6,000,246

6,000,246

2 × 32 × 72 × 6803
Abundant Even Composite

6,000,246 factors as 2 × 3^2 × 7^2 × 6803. Its 36 positive divisors give a proper-divisor sum of 9,125,046, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 6803
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,125,292
Proper Divisor Sum 9,125,046
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6000233 ← → #6000271

Radix Representation

Decimal 6000246
Binary 10110111000111001110110 (23 bits)
Octal 0o26707166
Hexadecimal 0x5B8E76

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 6,803 13,606 20,409 40,818 47,621 61,227 95,242 122,454 142,863 285,726 333,347 428,589 666,694 857,178 1,000,041 2,000,082 3,000,123 6,000,246

Collatz Trajectory (113 steps to reach 1)

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

6,000,246 3,000,123 9,000,370 4,500,185 13,500,556 6,750,278 3,375,139 10,125,418 5,062,709 15,188,128 7,594,064 3,797,032 1,898,516 949,258 474,629 1,423,888 711,944 355,972 177,986 88,993 266,980 133,490 66,745 200,236 100,118 50,059 150,178 75,089 225,268 112,634 56,317 168,952 84,476 42,238 21,119 63,358 31,679 95,038 47,519 142,558 71,279 213,838 106,919 320,758 160,379 481,138 240,569 721,708 360,854 180,427 541,282 270,641 811,924 405,962 202,981 608,944 304,472 152,236 76,118 38,059

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