154,508

2² × 19² × 107

Starting at 154,508, the Collatz iteration reaches 1 after 77 steps. The first transition is 77254; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 19^2 × 107

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 288,036

Proper Divisor Sum 133,528

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #154501 ← → #154523

Radix Representation

Decimal	154508
Binary	100101101110001100 (18 bits)
Octal	0o455614
Hexadecimal	0x25B8C

Divisor Catalog (18)

1 2 4 19 38 76 107 214 361 428 722 1,444 2,033 4,066 8,132 38,627 77,254 154,508

Collatz Trajectory (77 steps to reach 1)

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

154,508 77,254 38,627 115,882 57,941 173,824 86,912 43,456 21,728 10,864 5,432 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

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