λ
Sigma Notebook

8,618,000

24 × 53 × 31 × 139
Abundant Even Composite

8,618,000 is even and not a perfect square. Its factorization is 2^4 × 5^3 × 31 × 139 and its 80 divisors sum to 21,665,280.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 31 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 21,665,280
Proper Divisor Sum 13,047,280
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #8617993 ← → #8618021

Radix Representation

Decimal 8618000
Binary 100000111000000000010000 (24 bits)
Octal 0o40700020
Hexadecimal 0x838010

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 139 155 200 248 250 278 310 400 496 500 556 620 695 775 1,000 1,112 1,240 1,390 1,550 2,000 2,224 2,480 2,780 3,100 3,475 3,875 4,309 5,560 6,200 6,950 7,750 8,618 11,120 12,400 13,900 15,500 17,236 17,375 21,545 27,800 31,000 34,472 34,750

Collatz Trajectory (119 steps to reach 1)

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

8,618,000 4,309,000 2,154,500 1,077,250 538,625 1,615,876 807,938 403,969 1,211,908 605,954 302,977 908,932 454,466 227,233 681,700 340,850 170,425 511,276 255,638 127,819 383,458 191,729 575,188 287,594 143,797 431,392 215,696 107,848 53,924 26,962 13,481 40,444 20,222 10,111 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668

More profiles

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