17,622

2 × 3² × 11 × 89

17,622 has digital root 9. The neighboring primes are 17609 and 17623; its proper-divisor sum differs from the starting integer by 6,876.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 42,120

Proper Divisor Sum 24,498

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #17609 ← → #17623

Radix Representation

Decimal	17622
Binary	100010011010110 (15 bits)
Octal	0o42326
Hexadecimal	0x44D6

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1,602 1,958 2,937 5,874 8,811 17,622

Collatz Trajectory (53 steps to reach 1)

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

17,622 8,811 26,434 13,217 39,652 19,826 9,913 29,740 14,870 7,435 22,306 11,153 33,460 16,730 8,365 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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