4,627,636

2² × 13 × 88993

For 4,627,636, the 12 positive divisors have a total of 8,721,412. Removing 4,627,636 leaves 4,093,776, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 13 × 88993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,721,412

Proper Divisor Sum 4,093,776

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4627633 ← → #4627639

Radix Representation

Decimal	4627636
Binary	10001101001110010110100 (23 bits)
Octal	0o21516264
Hexadecimal	0x469CB4

Divisor Catalog (12)

1 2 4 13 26 52 88,993 177,986 355,972 1,156,909 2,313,818 4,627,636

Collatz Trajectory (74 steps to reach 1)

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

4,627,636 2,313,818 1,156,909 3,470,728 1,735,364 867,682 433,841 1,301,524 650,762 325,381 976,144 488,072 244,036 122,018 61,009 183,028 91,514 45,757 137,272 68,636 34,318 17,159 51,478 25,739 77,218 38,609 115,828 57,914 28,957 86,872 43,436 21,718 10,859 32,578 16,289 48,868 24,434 12,217 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136

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