λ
Sigma Notebook

1,518,968

23 × 11 × 41 × 421
Abundant Even Composite

1,518,968 is even and not a perfect square. Its factorization is 2^3 × 11 × 41 × 421 and its 32 divisors sum to 3,190,320.

Prime Factor Structure

Factorization String 2^3 × 11 × 41 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,190,320
Proper Divisor Sum 1,671,352
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1518949 ← → #1518971

Radix Representation

Decimal 1518968
Binary 101110010110101111000 (21 bits)
Octal 0o5626570
Hexadecimal 0x172D78

Divisor Catalog (32)

1 2 4 8 11 22 41 44 82 88 164 328 421 451 842 902 1,684 1,804 3,368 3,608 4,631 9,262 17,261 18,524 34,522 37,048 69,044 138,088 189,871 379,742 759,484 1,518,968

Collatz Trajectory (150 steps to reach 1)

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

1,518,968 759,484 379,742 189,871 569,614 284,807 854,422 427,211 1,281,634 640,817 1,922,452 961,226 480,613 1,441,840 720,920 360,460 180,230 90,115 270,346 135,173 405,520 202,760 101,380 50,690 25,345 76,036 38,018 19,009 57,028 28,514 14,257 42,772 21,386 10,693 32,080 16,040 8,020 4,010 2,005 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274

More profiles

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