158,130

2 × 3² × 5 × 7 × 251

Starting at 158,130, the Collatz iteration reaches 1 after 170 steps. The first transition is 79065; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 251

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 471,744

Proper Divisor Sum 313,614

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #158129 ← → #158141

Radix Representation

Decimal	158130
Binary	100110100110110010 (18 bits)
Octal	0o464662
Hexadecimal	0x269B2

Divisor Catalog (48)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 251 315 502 630 753 1,255 1,506 1,757 2,259 2,510 3,514 3,765 4,518 5,271 7,530 8,785 10,542 11,295 15,813 17,570 22,590 26,355 31,626 52,710 79,065 158,130

Collatz Trajectory (170 steps to reach 1)

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

158,130 79,065 237,196 118,598 59,299 177,898 88,949 266,848 133,424 66,712 33,356 16,678 8,339 25,018 12,509 37,528 18,764 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012

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