λ
Ratio Atlas
Atlas › Integer Profiles › Node 863,264

863,264

25 × 53 × 509
Abundant Even Composite

863,264 factors as 2^5 × 53 × 509. Its 24 positive divisors give a proper-divisor sum of 871,756, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^5 × 53 × 509
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,735,020
Proper Divisor Sum 871,756
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #863251 ← → #863279

Radix Representation

Decimal 863264
Binary 11010010110000100000 (20 bits)
Octal 0o3226040
Hexadecimal 0xD2C20

Divisor Catalog (24)

1 2 4 8 16 32 53 106 212 424 509 848 1,018 1,696 2,036 4,072 8,144 16,288 26,977 53,954 107,908 215,816 431,632 863,264

Collatz Trajectory (219 steps to reach 1)

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

863,264 431,632 215,816 107,908 53,954 26,977 80,932 40,466 20,233 60,700 30,350 15,175 45,526 22,763 68,290 34,145 102,436 51,218 25,609 76,828 38,414 19,207 57,622 28,811 86,434 43,217 129,652 64,826 32,413 97,240 48,620 24,310 12,155 36,466 18,233 54,700 27,350 13,675 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #863,263 Browse Full Index Next Integer #863,265 →