856,314

2 × 3² × 113 × 421

856,314 factors as 2 × 3^2 × 113 × 421. Its 24 positive divisors give a proper-divisor sum of 1,019,898, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 113 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,876,212

Proper Divisor Sum 1,019,898

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #856309 ← → #856333

Radix Representation

Decimal	856314
Binary	11010001000011111010 (20 bits)
Octal	0o3210372
Hexadecimal	0xD10FA

Divisor Catalog (24)

Collatz Trajectory (157 steps to reach 1)

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

856,314 428,157 1,284,472 642,236 321,118 160,559 481,678 240,839 722,518 361,259 1,083,778 541,889 1,625,668 812,834 406,417 1,219,252 609,626 304,813 914,440 457,220 228,610 114,305 342,916 171,458 85,729 257,188 128,594 64,297 192,892 96,446 48,223 144,670 72,335 217,006 108,503 325,510 162,755 488,266 244,133 732,400 366,200 183,100 91,550 45,775 137,326 68,663 205,990 102,995 308,986 154,493 463,480 231,740 115,870 57,935 173,806 86,903 260,710 130,355 391,066 195,533

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