863,590

2 × 5 × 7 × 13² × 73

863,590 is even and not a perfect square. Its factorization is 2 × 5 × 7 × 13^2 × 73 and its 48 divisors sum to 1,950,048.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13^2 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,950,048

Proper Divisor Sum 1,086,458

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #863561 ← → #863593

Radix Representation

Decimal	863590
Binary	11010010110101100110 (20 bits)
Octal	0o3226546
Hexadecimal	0xD2D66

Divisor Catalog (48)

1 2 5 7 10 13 14 26 35 65 70 73 91 130 146 169 182 338 365 455 511 730 845 910 949 1,022 1,183 1,690 1,898 2,366 2,555 4,745 5,110 5,915 6,643 9,490 11,830 12,337 13,286 24,674 33,215 61,685 66,430 86,359 123,370 172,718 431,795 863,590

Collatz Trajectory (144 steps to reach 1)

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

863,590 431,795 1,295,386 647,693 1,943,080 971,540 485,770 242,885 728,656 364,328 182,164 91,082 45,541 136,624 68,312 34,156 17,078 8,539 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155

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