λ
Sigma Notebook

8,179,848

23 × 32 × 103 × 1103
Abundant Even Composite

8,179,848 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 103 × 1103 and its 48 divisors sum to 22,389,120.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 103 × 1103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,389,120
Proper Divisor Sum 14,209,272
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8179841 ← → #8179867

Radix Representation

Decimal 8179848
Binary 11111001101000010001000 (23 bits)
Octal 0o37150210
Hexadecimal 0x7CD088

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1,103 1,236 1,854 2,206 2,472 3,309 3,708 4,412 6,618 7,416 8,824 9,927 13,236 19,854 26,472 39,708 79,416 113,609 227,218 340,827 454,436 681,654 908,872 1,022,481 1,363,308 2,044,962 2,726,616 4,089,924 8,179,848

Collatz Trajectory (62 steps to reach 1)

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

8,179,848 4,089,924 2,044,962 1,022,481 3,067,444 1,533,722 766,861 2,300,584 1,150,292 575,146 287,573 862,720 431,360 215,680 107,840 53,920 26,960 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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