λ
Sequence Observatory

158,544

24 × 33 × 367
Abundant Even Composite

Starting at 158,544, the Collatz iteration reaches 1 after 139 steps. The first transition is 79272; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 367
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 456,320
Proper Divisor Sum 297,776
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #158537 ← → #158551

Radix Representation

Decimal 158544
Binary 100110101101010000 (18 bits)
Octal 0o465520
Hexadecimal 0x26B50

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 367 432 734 1,101 1,468 2,202 2,936 3,303 4,404 5,872 6,606 8,808 9,909 13,212 17,616 19,818 26,424 39,636 52,848 79,272 158,544

Collatz Trajectory (139 steps to reach 1)

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

158,544 79,272 39,636 19,818 9,909 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

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