λ
Sigma Notebook

6,326,720

26 × 5 × 17 × 1163
Abundant Even Composite

6,326,720 is even and not a perfect square. Its factorization is 2^6 × 5 × 17 × 1163 and its 56 divisors sum to 15,965,424.

Prime Factor Structure

Factorization String 2^6 × 5 × 17 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 15,965,424
Proper Divisor Sum 9,638,704
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6326707 ← → #6326729

Radix Representation

Decimal 6326720
Binary 11000001000100111000000 (23 bits)
Octal 0o30104700
Hexadecimal 0x6089C0

Divisor Catalog (56)

1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1,088 1,163 1,360 2,326 2,720 4,652 5,440 5,815 9,304 11,630 18,608 19,771 23,260 37,216 39,542 46,520 74,432 79,084 93,040 98,855 158,168 186,080 197,710 316,336 372,160 395,420 632,672 790,840 1,265,344 1,581,680 3,163,360 6,326,720

Collatz Trajectory (59 steps to reach 1)

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

6,326,720 3,163,360 1,581,680 790,840 395,420 197,710 98,855 296,566 148,283 444,850 222,425 667,276 333,638 166,819 500,458 250,229 750,688 375,344 187,672 93,836 46,918 23,459 70,378 35,189 105,568 52,784 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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