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Atlas › Integer Profiles › Node 7,844,536

7,844,536

23 × 7 × 127 × 1103
Abundant Even Composite

7,844,536 factors as 2^3 × 7 × 127 × 1103. Its 32 positive divisors give a proper-divisor sum of 9,112,904, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 127 × 1103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,957,440
Proper Divisor Sum 9,112,904
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7844521 ← → #7844537

Radix Representation

Decimal 7844536
Binary 11101111011001010111000 (23 bits)
Octal 0o35731270
Hexadecimal 0x77B2B8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 127 254 508 889 1,016 1,103 1,778 2,206 3,556 4,412 7,112 7,721 8,824 15,442 30,884 61,768 140,081 280,162 560,324 980,567 1,120,648 1,961,134 3,922,268 7,844,536

Collatz Trajectory (93 steps to reach 1)

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

7,844,536 3,922,268 1,961,134 980,567 2,941,702 1,470,851 4,412,554 2,206,277 6,618,832 3,309,416 1,654,708 827,354 413,677 1,241,032 620,516 310,258 155,129 465,388 232,694 116,347 349,042 174,521 523,564 261,782 130,891 392,674 196,337 589,012 294,506 147,253 441,760 220,880 110,440 55,220 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384

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