149,380

2² × 5 × 7 × 11 × 97

Starting at 149,380, the Collatz iteration reaches 1 after 139 steps. The first transition is 74690; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 97

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 395,136

Proper Divisor Sum 245,756

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #149377 ← → #149381

Radix Representation

Decimal	149380
Binary	100100011110000100 (18 bits)
Octal	0o443604
Hexadecimal	0x24784

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 97 110 140 154 194 220 308 385 388 485 679 770 970 1,067 1,358 1,540 1,940 2,134 2,716 3,395 4,268 5,335 6,790 7,469 10,670 13,580 14,938 21,340 29,876 37,345 74,690 149,380

Collatz Trajectory (139 steps to reach 1)

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

149,380 74,690 37,345 112,036 56,018 28,009 84,028 42,014 21,007 63,022 31,511 94,534 47,267 141,802 70,901 212,704 106,352 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127

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