λ
Prime Ledger

587,505

3 × 5 × 53 × 739
Deficient Odd Composite

587,505 has the prime decomposition 3 × 5 × 53 × 739. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 53 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 959,040
Proper Divisor Sum 371,535
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #587497 ← → #587513

Radix Representation

Decimal 587505
Binary 10001111011011110001 (20 bits)
Octal 0o2173361
Hexadecimal 0x8F6F1

Divisor Catalog (16)

1 3 5 15 53 159 265 739 795 2,217 3,695 11,085 39,167 117,501 195,835 587,505

Collatz Trajectory (66 steps to reach 1)

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

587,505 1,762,516 881,258 440,629 1,321,888 660,944 330,472 165,236 82,618 41,309 123,928 61,964 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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