6,474,960

2⁴ × 3² × 5 × 17 × 23²

6,474,960 has the prime decomposition 2^4 × 3^2 × 5 × 17 × 23^2. Its 5 distinct prime factors produce 180 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 17 × 23^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 24,068,772

Proper Divisor Sum 17,593,812

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6474959 ← → #6474973

Radix Representation

Decimal	6474960
Binary	11000101100110011010000 (23 bits)
Octal	0o30546320
Hexadecimal	0x62CCD0

Divisor Catalog (60 of 180)

1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 23 24 30 34 36 40 45 46 48 51 60 68 69 72 80 85 90 92 102 115 120 136 138 144 153 170 180 184 204 207 230 240 255 272 276 306 340 345 360 368 391 408 414 460 510

Collatz Trajectory (64 steps to reach 1)

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

6,474,960 3,237,480 1,618,740 809,370 404,685 1,214,056 607,028 303,514 151,757 455,272 227,636 113,818 56,909 170,728 85,364 42,682 21,341 64,024 32,012 16,006 8,003 24,010 12,005 36,016 18,008 9,004 4,502 2,251 6,754 3,377 10,132 5,066 2,533 7,600 3,800 1,900 950 475 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32

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