4,646,496

2⁵ × 3 × 29 × 1669

4,646,496 is even and not a perfect square. Its factorization is 2^5 × 3 × 29 × 1669 and its 48 divisors sum to 12,625,200.

Prime Factor Structure

Factorization String 2^5 × 3 × 29 × 1669

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,625,200

Proper Divisor Sum 7,978,704

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4646479 ← → #4646501

Radix Representation

Decimal	4646496
Binary	10001101110011001100000 (23 bits)
Octal	0o21563140
Hexadecimal	0x46E660

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1,392 1,669 2,784 3,338 5,007 6,676 10,014 13,352 20,028 26,704 40,056 48,401 53,408 80,112 96,802 145,203 160,224 193,604 290,406 387,208 580,812 774,416 1,161,624 1,548,832 2,323,248 4,646,496

Collatz Trajectory (100 steps to reach 1)

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

4,646,496 2,323,248 1,161,624 580,812 290,406 145,203 435,610 217,805 653,416 326,708 163,354 81,677 245,032 122,516 61,258 30,629 91,888 45,944 22,972 11,486 5,743 17,230 8,615 25,846 12,923 38,770 19,385 58,156 29,078 14,539 43,618 21,809 65,428 32,714 16,357 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 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

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