122,922

2 × 3² × 6829

122,922 has digital root 9. The neighboring primes are 122921 and 122929; its proper-divisor sum differs from the starting integer by 20,526.

Prime Factor Structure

Factorization String 2 × 3^2 × 6829

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 266,370

Proper Divisor Sum 143,448

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #122921 ← → #122929

Radix Representation

Decimal	122922
Binary	11110000000101010 (17 bits)
Octal	0o360052
Hexadecimal	0x1E02A

Divisor Catalog (12)

1 2 3 6 9 18 6,829 13,658 20,487 40,974 61,461 122,922

Collatz Trajectory (43 steps to reach 1)

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

122,922 61,461 184,384 92,192 46,096 23,048 11,524 5,762 2,881 8,644 4,322 2,161 6,484 3,242 1,621 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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