123,428

2² × 59 × 523

123,428 is even and not a perfect square. Its factorization is 2^2 × 59 × 523 and its 12 divisors sum to 220,080.

Prime Factor Structure

Factorization String 2^2 × 59 × 523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 220,080

Proper Divisor Sum 96,652

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #123427 ← → #123433

Radix Representation

Decimal	123428
Binary	11110001000100100 (17 bits)
Octal	0o361044
Hexadecimal	0x1E224

Divisor Catalog (12)

1 2 4 59 118 236 523 1,046 2,092 30,857 61,714 123,428

Collatz Trajectory (141 steps to reach 1)

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

123,428 61,714 30,857 92,572 46,286 23,143 69,430 34,715 104,146 52,073 156,220 78,110 39,055 117,166 58,583 175,750 87,875 263,626 131,813 395,440 197,720 98,860 49,430 24,715 74,146 37,073 111,220 55,610 27,805 83,416 41,708 20,854 10,427 31,282 15,641 46,924 23,462 11,731 35,194 17,597 52,792 26,396 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699

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