λ
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6,480,296

23 × 23 × 41 × 859
Abundant Even Composite

6,480,296 factors as 2^3 × 23 × 41 × 859. Its 32 positive divisors give a proper-divisor sum of 6,522,904, so this integer is abundant. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 41 × 859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,003,200
Proper Divisor Sum 6,522,904
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6480289 ← → #6480301

Radix Representation

Decimal 6480296
Binary 11000101110000110101000 (23 bits)
Octal 0o30560650
Hexadecimal 0x62E1A8

Divisor Catalog (32)

1 2 4 8 23 41 46 82 92 164 184 328 859 943 1,718 1,886 3,436 3,772 6,872 7,544 19,757 35,219 39,514 70,438 79,028 140,876 158,056 281,752 810,037 1,620,074 3,240,148 6,480,296

Collatz Trajectory (64 steps to reach 1)

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

6,480,296 3,240,148 1,620,074 810,037 2,430,112 1,215,056 607,528 303,764 151,882 75,941 227,824 113,912 56,956 28,478 14,239 42,718 21,359 64,078 32,039 96,118 48,059 144,178 72,089 216,268 108,134 54,067 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32

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