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Atlas › Integer Profiles › Node 7,684,064

7,684,064

25 × 109 × 2203
Deficient Even Composite

7,684,064 factors as 2^5 × 109 × 2203. Its 24 positive divisors give a proper-divisor sum of 7,589,656, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^5 × 109 × 2203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,273,720
Proper Divisor Sum 7,589,656
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7684021 ← → #7684087

Radix Representation

Decimal 7684064
Binary 11101010011111111100000 (23 bits)
Octal 0o35237740
Hexadecimal 0x753FE0

Divisor Catalog (24)

1 2 4 8 16 32 109 218 436 872 1,744 2,203 3,488 4,406 8,812 17,624 35,248 70,496 240,127 480,254 960,508 1,921,016 3,842,032 7,684,064

Collatz Trajectory (204 steps to reach 1)

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

7,684,064 3,842,032 1,921,016 960,508 480,254 240,127 720,382 360,191 1,080,574 540,287 1,620,862 810,431 2,431,294 1,215,647 3,646,942 1,823,471 5,470,414 2,735,207 8,205,622 4,102,811 12,308,434 6,154,217 18,462,652 9,231,326 4,615,663 13,846,990 6,923,495 20,770,486 10,385,243 31,155,730 15,577,865 46,733,596 23,366,798 11,683,399 35,050,198 17,525,099 52,575,298 26,287,649 78,862,948 39,431,474 19,715,737 59,147,212 29,573,606 14,786,803 44,360,410 22,180,205 66,540,616 33,270,308 16,635,154 8,317,577 24,952,732 12,476,366 6,238,183 18,714,550 9,357,275 28,071,826 14,035,913 42,107,740 21,053,870 10,526,935

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