22,743

3² × 7 × 19²

22,743 factors as 3^2 × 7 × 19^2. Its 18 positive divisors give a proper-divisor sum of 16,881, so this integer is deficient. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 19^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 39,624

Proper Divisor Sum 16,881

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #22741 ← → #22751

Radix Representation

Decimal	22743
Binary	101100011010111 (15 bits)
Octal	0o54327
Hexadecimal	0x58D7

Divisor Catalog (18)

1 3 7 9 19 21 57 63 133 171 361 399 1,083 1,197 2,527 3,249 7,581 22,743

Collatz Trajectory (82 steps to reach 1)

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

22,743 68,230 34,115 102,346 51,173 153,520 76,760 38,380 19,190 9,595 28,786 14,393 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148

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