360,540

2² × 3² × 5 × 2003

360,540 has digital root 9. The neighboring primes are 360511 and 360541; its proper-divisor sum differs from the starting integer by 373,104.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 2003

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,094,184

Proper Divisor Sum 733,644

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #360511 ← → #360541

Radix Representation

Decimal	360540
Binary	1011000000001011100 (19 bits)
Octal	0o1300134
Hexadecimal	0x5805C

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2,003 4,006 6,009 8,012 10,015 12,018 18,027 20,030 24,036 30,045 36,054 40,060 60,090 72,108 90,135 120,180 180,270 360,540

Collatz Trajectory (65 steps to reach 1)

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

360,540 180,270 90,135 270,406 135,203 405,610 202,805 608,416 304,208 152,104 76,052 38,026 19,013 57,040 28,520 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64

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