584,720

2⁴ × 5 × 7309

584,720 has the prime decomposition 2^4 × 5 × 7309. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 7309

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,359,660

Proper Divisor Sum 774,940

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #584719 ← → #584723

Radix Representation

Decimal	584720
Binary	10001110110000010000 (20 bits)
Octal	0o2166020
Hexadecimal	0x8EC10

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 7,309 14,618 29,236 36,545 58,472 73,090 116,944 146,180 292,360 584,720

Collatz Trajectory (66 steps to reach 1)

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

584,720 292,360 146,180 73,090 36,545 109,636 54,818 27,409 82,228 41,114 20,557 61,672 30,836 15,418 7,709 23,128 11,564 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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