6,996,720

2⁴ × 3 × 5 × 29153

6,996,720 is even and not a perfect square. Its factorization is 2^4 × 3 × 5 × 29153 and its 40 divisors sum to 21,690,576.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 29153

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 21,690,576

Proper Divisor Sum 14,693,856

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6996713 ← → #6996721

Radix Representation

Decimal	6996720
Binary	11010101100001011110000 (23 bits)
Octal	0o32541360
Hexadecimal	0x6AC2F0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 29,153 58,306 87,459 116,612 145,765 174,918 233,224 291,530 349,836 437,295 466,448 583,060 699,672 874,590 1,166,120 1,399,344 1,749,180 2,332,240 3,498,360 6,996,720

Collatz Trajectory (72 steps to reach 1)

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

6,996,720 3,498,360 1,749,180 874,590 437,295 1,311,886 655,943 1,967,830 983,915 2,951,746 1,475,873 4,427,620 2,213,810 1,106,905 3,320,716 1,660,358 830,179 2,490,538 1,245,269 3,735,808 1,867,904 933,952 466,976 233,488 116,744 58,372 29,186 14,593 43,780 21,890 10,945 32,836 16,418 8,209 24,628 12,314 6,157 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

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