λ
Sigma Notebook

8,618,848

25 × 7 × 109 × 353
Abundant Even Composite

8,618,848 is even and not a perfect square. Its factorization is 2^5 × 7 × 109 × 353 and its 48 divisors sum to 19,625,760.

Prime Factor Structure

Factorization String 2^5 × 7 × 109 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,625,760
Proper Divisor Sum 11,006,912
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8618833 ← → #8618851

Radix Representation

Decimal 8618848
Binary 100000111000001101100000 (24 bits)
Octal 0o40701540
Hexadecimal 0x838360

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 56 109 112 218 224 353 436 706 763 872 1,412 1,526 1,744 2,471 2,824 3,052 3,488 4,942 5,648 6,104 9,884 11,296 12,208 19,768 24,416 38,477 39,536 76,954 79,072 153,908 269,339 307,816 538,678 615,632 1,077,356 1,231,264 2,154,712 4,309,424 8,618,848

Collatz Trajectory (168 steps to reach 1)

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

8,618,848 4,309,424 2,154,712 1,077,356 538,678 269,339 808,018 404,009 1,212,028 606,014 303,007 909,022 454,511 1,363,534 681,767 2,045,302 1,022,651 3,067,954 1,533,977 4,601,932 2,300,966 1,150,483 3,451,450 1,725,725 5,177,176 2,588,588 1,294,294 647,147 1,941,442 970,721 2,912,164 1,456,082 728,041 2,184,124 1,092,062 546,031 1,638,094 819,047 2,457,142 1,228,571 3,685,714 1,842,857 5,528,572 2,764,286 1,382,143 4,146,430 2,073,215 6,219,646 3,109,823 9,329,470 4,664,735 13,994,206 6,997,103 20,991,310 10,495,655 31,486,966 15,743,483 47,230,450 23,615,225 70,845,676

More profiles

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