131,550

2 × 3 × 5² × 877

Starting at 131,550, the Collatz iteration reaches 1 after 123 steps. The first transition is 65775; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 877

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 326,616

Proper Divisor Sum 195,066

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #131543 ← → #131561

Radix Representation

Decimal	131550
Binary	100000000111011110 (18 bits)
Octal	0o400736
Hexadecimal	0x201DE

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 877 1,754 2,631 4,385 5,262 8,770 13,155 21,925 26,310 43,850 65,775 131,550

Collatz Trajectory (123 steps to reach 1)

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

131,550 65,775 197,326 98,663 295,990 147,995 443,986 221,993 665,980 332,990 166,495 499,486 249,743 749,230 374,615 1,123,846 561,923 1,685,770 842,885 2,528,656 1,264,328 632,164 316,082 158,041 474,124 237,062 118,531 355,594 177,797 533,392 266,696 133,348 66,674 33,337 100,012 50,006 25,003 75,010 37,505 112,516 56,258 28,129 84,388 42,194 21,097 63,292 31,646 15,823 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041

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