154,596

2² × 3 × 13 × 991

Starting at 154,596, the Collatz iteration reaches 1 after 126 steps. The first transition is 77298; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 388,864

Proper Divisor Sum 234,268

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #154591 ← → #154613

Radix Representation

Decimal	154596
Binary	100101101111100100 (18 bits)
Octal	0o455744
Hexadecimal	0x25BE4

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 991 1,982 2,973 3,964 5,946 11,892 12,883 25,766 38,649 51,532 77,298 154,596

Collatz Trajectory (126 steps to reach 1)

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

154,596 77,298 38,649 115,948 57,974 28,987 86,962 43,481 130,444 65,222 32,611 97,834 48,917 146,752 73,376 36,688 18,344 9,172 4,586 2,293 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167

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