154,404

2² × 3² × 4289

Starting at 154,404, the Collatz iteration reaches 1 after 170 steps. The first transition is 77202; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 4289

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 390,390

Proper Divisor Sum 235,986

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #154387 ← → #154409

Radix Representation

Decimal	154404
Binary	100101101100100100 (18 bits)
Octal	0o455444
Hexadecimal	0x25B24

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 4,289 8,578 12,867 17,156 25,734 38,601 51,468 77,202 154,404

Collatz Trajectory (170 steps to reach 1)

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

154,404 77,202 38,601 115,804 57,902 28,951 86,854 43,427 130,282 65,141 195,424 97,712 48,856 24,428 12,214 6,107 18,322 9,161 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164

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