587,600

2⁴ × 5² × 13 × 113

587,600 factors as 2^4 × 5^2 × 13 × 113. Its 60 positive divisors give a proper-divisor sum of 946,156, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 13 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 1,533,756

Proper Divisor Sum 946,156

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #587599 ← → #587603

Radix Representation

Decimal	587600
Binary	10001111011101010000 (20 bits)
Octal	0o2173520
Hexadecimal	0x8F750

Divisor Catalog (60)

1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 113 130 200 208 226 260 325 400 452 520 565 650 904 1,040 1,130 1,300 1,469 1,808 2,260 2,600 2,825 2,938 4,520 5,200 5,650 5,876 7,345 9,040 11,300 11,752 14,690 22,600 23,504 29,380 36,725 45,200 58,760 73,450 117,520 146,900 293,800 587,600

Collatz Trajectory (66 steps to reach 1)

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

587,600 293,800 146,900 73,450 36,725 110,176 55,088 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 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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