123,372

2² × 3² × 23 × 149

Starting at 123,372, the Collatz iteration reaches 1 after 167 steps. The first transition is 61686; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 327,600

Proper Divisor Sum 204,228

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #123341 ← → #123373

Radix Representation

Decimal	123372
Binary	11110000111101100 (17 bits)
Octal	0o360754
Hexadecimal	0x1E1EC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 149 207 276 298 414 447 596 828 894 1,341 1,788 2,682 3,427 5,364 6,854 10,281 13,708 20,562 30,843 41,124 61,686 123,372

Collatz Trajectory (167 steps to reach 1)

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

123,372 61,686 30,843 92,530 46,265 138,796 69,398 34,699 104,098 52,049 156,148 78,074 39,037 117,112 58,556 29,278 14,639 43,918 21,959 65,878 32,939 98,818 49,409 148,228 74,114 37,057 111,172 55,586 27,793 83,380 41,690 20,845 62,536 31,268 15,634 7,817 23,452 11,726 5,863 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148 37,574 18,787 56,362 28,181

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