λ
Sigma Notebook

7,184,368

24 × 73 × 6151
Deficient Even Composite

7,184,368 is even and not a perfect square. Its factorization is 2^4 × 73 × 6151 and its 20 divisors sum to 14,112,688.

Prime Factor Structure

Factorization String 2^4 × 73 × 6151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,112,688
Proper Divisor Sum 6,928,320
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7184363 ← → #7184369

Radix Representation

Decimal 7184368
Binary 11011011001111111110000 (23 bits)
Octal 0o33317760
Hexadecimal 0x6D9FF0

Divisor Catalog (20)

1 2 4 8 16 73 146 292 584 1,168 6,151 12,302 24,604 49,208 98,416 449,023 898,046 1,796,092 3,592,184 7,184,368

Collatz Trajectory (191 steps to reach 1)

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

7,184,368 3,592,184 1,796,092 898,046 449,023 1,347,070 673,535 2,020,606 1,010,303 3,030,910 1,515,455 4,546,366 2,273,183 6,819,550 3,409,775 10,229,326 5,114,663 15,343,990 7,671,995 23,015,986 11,507,993 34,523,980 17,261,990 8,630,995 25,892,986 12,946,493 38,839,480 19,419,740 9,709,870 4,854,935 14,564,806 7,282,403 21,847,210 10,923,605 32,770,816 16,385,408 8,192,704 4,096,352 2,048,176 1,024,088 512,044 256,022 128,011 384,034 192,017 576,052 288,026 144,013 432,040 216,020 108,010 54,005 162,016 81,008 40,504 20,252 10,126 5,063 15,190 7,595

More profiles

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