λ
Prime Ledger

218,489

41 × 732
Deficient Odd Composite

218,489 has the prime decomposition 41 × 73^2. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 41 × 73^2
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 226,926
Proper Divisor Sum 8,437
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #218479 ← → #218509

Radix Representation

Decimal 218489
Binary 110101010101111001 (18 bits)
Octal 0o652571
Hexadecimal 0x35579

Divisor Catalog (6)

1 41 73 2,993 5,329 218,489

Collatz Trajectory (124 steps to reach 1)

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

218,489 655,468 327,734 163,867 491,602 245,801 737,404 368,702 184,351 553,054 276,527 829,582 414,791 1,244,374 622,187 1,866,562 933,281 2,799,844 1,399,922 699,961 2,099,884 1,049,942 524,971 1,574,914 787,457 2,362,372 1,181,186 590,593 1,771,780 885,890 442,945 1,328,836 664,418 332,209 996,628 498,314 249,157 747,472 373,736 186,868 93,434 46,717 140,152 70,076 35,038 17,519 52,558 26,279 78,838 39,419 118,258 59,129 177,388 88,694 44,347 133,042 66,521 199,564 99,782 49,891

More profiles

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