λ
Sequence Observatory

327,545

5 × 109 × 601
Deficient Odd Composite

Starting at 327,545, the Collatz iteration reaches 1 after 122 steps. The first transition is 982636; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 109 × 601
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 397,320
Proper Divisor Sum 69,775
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #327529 ← → #327553

Radix Representation

Decimal 327545
Binary 1001111111101111001 (19 bits)
Octal 0o1177571
Hexadecimal 0x4FF79

Divisor Catalog (8)

1 5 109 545 601 3,005 65,509 327,545

Collatz Trajectory (122 steps to reach 1)

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

327,545 982,636 491,318 245,659 736,978 368,489 1,105,468 552,734 276,367 829,102 414,551 1,243,654 621,827 1,865,482 932,741 2,798,224 1,399,112 699,556 349,778 174,889 524,668 262,334 131,167 393,502 196,751 590,254 295,127 885,382 442,691 1,328,074 664,037 1,992,112 996,056 498,028 249,014 124,507 373,522 186,761 560,284 280,142 140,071 420,214 210,107 630,322 315,161 945,484 472,742 236,371 709,114 354,557 1,063,672 531,836 265,918 132,959 398,878 199,439 598,318 299,159 897,478 448,739

More profiles

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