541,380

2² × 3 × 5 × 7 × 1289

541,380 has digital root 3. The neighboring primes are 541369 and 541381; its proper-divisor sum differs from the starting integer by 651,000.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 1289

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,733,760

Proper Divisor Sum 1,192,380

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #541369 ← → #541381

Radix Representation

Decimal	541380
Binary	10000100001011000100 (20 bits)
Octal	0o2041304
Hexadecimal	0x842C4

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1,289 2,578 3,867 5,156 6,445 7,734 9,023 12,890 15,468 18,046 19,335 25,780 27,069 36,092 38,670 45,115 54,138 77,340 90,230 108,276 135,345 180,460 270,690 541,380

Collatz Trajectory (63 steps to reach 1)

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

541,380 270,690 135,345 406,036 203,018 101,509 304,528 152,264 76,132 38,066 19,033 57,100 28,550 14,275 42,826 21,413 64,240 32,120 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 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 32 16

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