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Atlas › Integer Profiles › Node 7,693,152

7,693,152

25 × 3 × 127 × 631
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 127 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,385,792
Proper Divisor Sum 12,692,640
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7693123 ← → #7693159

Radix Representation

Decimal 7693152
Binary 11101010110001101100000 (23 bits)
Octal 0o35261540
Hexadecimal 0x756360

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 631 762 1,016 1,262 1,524 1,893 2,032 2,524 3,048 3,786 4,064 5,048 6,096 7,572 10,096 12,192 15,144 20,192 30,288 60,576 80,137 160,274 240,411 320,548 480,822 641,096 961,644 1,282,192 1,923,288 2,564,384 3,846,576 7,693,152

Collatz Trajectory (173 steps to reach 1)

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

7,693,152 3,846,576 1,923,288 961,644 480,822 240,411 721,234 360,617 1,081,852 540,926 270,463 811,390 405,695 1,217,086 608,543 1,825,630 912,815 2,738,446 1,369,223 4,107,670 2,053,835 6,161,506 3,080,753 9,242,260 4,621,130 2,310,565 6,931,696 3,465,848 1,732,924 866,462 433,231 1,299,694 649,847 1,949,542 974,771 2,924,314 1,462,157 4,386,472 2,193,236 1,096,618 548,309 1,644,928 822,464 411,232 205,616 102,808 51,404 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134

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