λ
Prime Ledger

449,618

2 × 13 × 17293
Deficient Even Composite

449,618 has the prime decomposition 2 × 13 × 17293. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 17293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 726,348
Proper Divisor Sum 276,730
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #449609 ← → #449621

Radix Representation

Decimal 449618
Binary 1101101110001010010 (19 bits)
Octal 0o1556122
Hexadecimal 0x6DC52

Divisor Catalog (8)

1 2 13 26 17,293 34,586 224,809 449,618

Collatz Trajectory (112 steps to reach 1)

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

449,618 224,809 674,428 337,214 168,607 505,822 252,911 758,734 379,367 1,138,102 569,051 1,707,154 853,577 2,560,732 1,280,366 640,183 1,920,550 960,275 2,880,826 1,440,413 4,321,240 2,160,620 1,080,310 540,155 1,620,466 810,233 2,430,700 1,215,350 607,675 1,823,026 911,513 2,734,540 1,367,270 683,635 2,050,906 1,025,453 3,076,360 1,538,180 769,090 384,545 1,153,636 576,818 288,409 865,228 432,614 216,307 648,922 324,461 973,384 486,692 243,346 121,673 365,020 182,510 91,255 273,766 136,883 410,650 205,325 615,976

More profiles

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