122,718

2 × 3 × 113 × 181

122,718 has digital root 3. The neighboring primes are 122701 and 122719; its proper-divisor sum differs from the starting integer by 3,540.

Prime Factor Structure

Factorization String 2 × 3 × 113 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 248,976

Proper Divisor Sum 126,258

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #122701 ← → #122719

Radix Representation

Decimal	122718
Binary	11101111101011110 (17 bits)
Octal	0o357536
Hexadecimal	0x1DF5E

Divisor Catalog (16)

1 2 3 6 113 181 226 339 362 543 678 1,086 20,453 40,906 61,359 122,718

Collatz Trajectory (180 steps to reach 1)

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

122,718 61,359 184,078 92,039 276,118 138,059 414,178 207,089 621,268 310,634 155,317 465,952 232,976 116,488 58,244 29,122 14,561 43,684 21,842 10,921 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422 1,345,211 4,035,634 2,017,817 6,053,452

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