λ
Integer Codex

6,079,268

22 × 132 × 17 × 232
Abundant Even Composite

For 6,079,268, the 54 positive divisors have a total of 12,751,074. Removing 6,079,268 leaves 6,671,806, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 17 × 23^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 12,751,074
Proper Divisor Sum 6,671,806
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6079267 ← → #6079273

Radix Representation

Decimal 6079268
Binary 10111001100001100100100 (23 bits)
Octal 0o27141444
Hexadecimal 0x5CC324

Divisor Catalog (54)

1 2 4 13 17 23 26 34 46 52 68 92 169 221 299 338 391 442 529 598 676 782 884 1,058 1,196 1,564 2,116 2,873 3,887 5,083 5,746 6,877 7,774 8,993 10,166 11,492 13,754 15,548 17,986 20,332 27,508 35,972 66,079 89,401 116,909 132,158 178,802 233,818 264,316 357,604 467,636 1,519,817 3,039,634 6,079,268

Collatz Trajectory (134 steps to reach 1)

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

6,079,268 3,039,634 1,519,817 4,559,452 2,279,726 1,139,863 3,419,590 1,709,795 5,129,386 2,564,693 7,694,080 3,847,040 1,923,520 961,760 480,880 240,440 120,220 60,110 30,055 90,166 45,083 135,250 67,625 202,876 101,438 50,719 152,158 76,079 228,238 114,119 342,358 171,179 513,538 256,769 770,308 385,154 192,577 577,732 288,866 144,433 433,300 216,650 108,325 324,976 162,488 81,244 40,622 20,311 60,934 30,467 91,402 45,701 137,104 68,552 34,276 17,138 8,569 25,708 12,854 6,427

More profiles

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