31,868

2² × 31 × 257

For 31,868, the 12 positive divisors have a total of 57,792. Removing 31,868 leaves 25,924, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 31 × 257

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 57,792

Proper Divisor Sum 25,924

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #31859 ← → #31873

Radix Representation

Decimal	31868
Binary	111110001111100 (15 bits)
Octal	0o76174
Hexadecimal	0x7C7C

Divisor Catalog (12)

1 2 4 31 62 124 257 514 1,028 7,967 15,934 31,868

Collatz Trajectory (98 steps to reach 1)

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

31,868 15,934 7,967 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222

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