λ
Sigma Notebook

8,660,548

22 × 13 × 17 × 97 × 101
Abundant Even Composite

8,660,548 is even and not a perfect square. Its factorization is 2^2 × 13 × 17 × 97 × 101 and its 48 divisors sum to 17,632,944.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 97 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,632,944
Proper Divisor Sum 8,972,396
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8660543 ← → #8660569

Radix Representation

Decimal 8660548
Binary 100001000010011001000100 (24 bits)
Octal 0o41023104
Hexadecimal 0x842644

Divisor Catalog (48)

1 2 4 13 17 26 34 52 68 97 101 194 202 221 388 404 442 884 1,261 1,313 1,649 1,717 2,522 2,626 3,298 3,434 5,044 5,252 6,596 6,868 9,797 19,594 21,437 22,321 39,188 42,874 44,642 85,748 89,284 127,361 166,549 254,722 333,098 509,444 666,196 2,165,137 4,330,274 8,660,548

Collatz Trajectory (212 steps to reach 1)

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

8,660,548 4,330,274 2,165,137 6,495,412 3,247,706 1,623,853 4,871,560 2,435,780 1,217,890 608,945 1,826,836 913,418 456,709 1,370,128 685,064 342,532 171,266 85,633 256,900 128,450 64,225 192,676 96,338 48,169 144,508 72,254 36,127 108,382 54,191 162,574 81,287 243,862 121,931 365,794 182,897 548,692 274,346 137,173 411,520 205,760 102,880 51,440 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160

More profiles

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