122,628

2² × 3 × 11 × 929

122,628 has digital root 3. The neighboring primes are 122611 and 122651; its proper-divisor sum differs from the starting integer by 67,224.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 929

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 312,480

Proper Divisor Sum 189,852

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #122611 ← → #122651

Radix Representation

Decimal	122628
Binary	11101111100000100 (17 bits)
Octal	0o357404
Hexadecimal	0x1DF04

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 929 1,858 2,787 3,716 5,574 10,219 11,148 20,438 30,657 40,876 61,314 122,628

Collatz Trajectory (180 steps to reach 1)

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

122,628 61,314 30,657 91,972 45,986 22,993 68,980 34,490 17,245 51,736 25,868 12,934 6,467 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155

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