λ
Zalai Atlas

144,774

2 × 33 × 7 × 383
Abundant Even Composite

144,774 has the prime decomposition 2 × 3^3 × 7 × 383. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 7 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 368,640
Proper Divisor Sum 223,866
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #144773 ← → #144779

Radix Representation

Decimal 144774
Binary 100011010110000110 (18 bits)
Octal 0o432606
Hexadecimal 0x23586

Divisor Catalog (32)

1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 383 766 1,149 2,298 2,681 3,447 5,362 6,894 8,043 10,341 16,086 20,682 24,129 48,258 72,387 144,774

Collatz Trajectory (43 steps to reach 1)

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

144,774 72,387 217,162 108,581 325,744 162,872 81,436 40,718 20,359 61,078 30,539 91,618 45,809 137,428 68,714 34,357 103,072 51,536 25,768 12,884 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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