λ
Prime Ledger

8,328,248

23 × 41 × 25391
Deficient Even Composite

8,328,248 has the prime decomposition 2^3 × 41 × 25391. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 41 × 25391
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,996,960
Proper Divisor Sum 7,668,712
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8328239 ← → #8328253

Radix Representation

Decimal 8328248
Binary 11111110001010000111000 (23 bits)
Octal 0o37612070
Hexadecimal 0x7F1438

Divisor Catalog (16)

1 2 4 8 41 82 164 328 25,391 50,782 101,564 203,128 1,041,031 2,082,062 4,164,124 8,328,248

Collatz Trajectory (199 steps to reach 1)

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

8,328,248 4,164,124 2,082,062 1,041,031 3,123,094 1,561,547 4,684,642 2,342,321 7,026,964 3,513,482 1,756,741 5,270,224 2,635,112 1,317,556 658,778 329,389 988,168 494,084 247,042 123,521 370,564 185,282 92,641 277,924 138,962 69,481 208,444 104,222 52,111 156,334 78,167 234,502 117,251 351,754 175,877 527,632 263,816 131,908 65,954 32,977 98,932 49,466 24,733 74,200 37,100 18,550 9,275 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806

More profiles

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