λ
Sigma Notebook

6,058,458

2 × 32 × 72 × 6869
Abundant Even Composite

6,058,458 is even and not a perfect square. Its factorization is 2 × 3^2 × 7^2 × 6869 and its 36 divisors sum to 15,272,010.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 6869
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 15,272,010
Proper Divisor Sum 9,213,552
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6058457 ← → #6058469

Radix Representation

Decimal 6058458
Binary 10111000111000111011010 (23 bits)
Octal 0o27070732
Hexadecimal 0x5C71DA

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 6,869 13,738 20,607 41,214 48,083 61,821 96,166 123,642 144,249 288,498 336,581 432,747 673,162 865,494 1,009,743 2,019,486 3,029,229 6,058,458

Collatz Trajectory (320 steps to reach 1)

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

6,058,458 3,029,229 9,087,688 4,543,844 2,271,922 1,135,961 3,407,884 1,703,942 851,971 2,555,914 1,277,957 3,833,872 1,916,936 958,468 479,234 239,617 718,852 359,426 179,713 539,140 269,570 134,785 404,356 202,178 101,089 303,268 151,634 75,817 227,452 113,726 56,863 170,590 85,295 255,886 127,943 383,830 191,915 575,746 287,873 863,620 431,810 215,905 647,716 323,858 161,929 485,788 242,894 121,447 364,342 182,171 546,514 273,257 819,772 409,886 204,943 614,830 307,415 922,246 461,123 1,383,370

More profiles

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