601,587

3⁴ × 7 × 1061

601,587 has digital root 9. The neighboring primes are 601543 and 601589; its proper-divisor sum differs from the starting integer by -175,158.

Prime Factor Structure

Factorization String 3^4 × 7 × 1061

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,028,016

Proper Divisor Sum 426,429

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #601543 ← → #601589

Radix Representation

Decimal	601587
Binary	10010010110111110011 (20 bits)
Octal	0o2226763
Hexadecimal	0x92DF3

Divisor Catalog (20)

1 3 7 9 21 27 63 81 189 567 1,061 3,183 7,427 9,549 22,281 28,647 66,843 85,941 200,529 601,587

Collatz Trajectory (115 steps to reach 1)

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

601,587 1,804,762 902,381 2,707,144 1,353,572 676,786 338,393 1,015,180 507,590 253,795 761,386 380,693 1,142,080 571,040 285,520 142,760 71,380 35,690 17,845 53,536 26,768 13,384 6,692 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637

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