λ
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6,400,524

22 × 3 × 13 × 89 × 461
Abundant Even Composite

6,400,524 factors as 2^2 × 3 × 13 × 89 × 461. Its 48 positive divisors give a proper-divisor sum of 9,898,836, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 89 × 461
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,299,360
Proper Divisor Sum 9,898,836
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6400489 ← → #6400531

Radix Representation

Decimal 6400524
Binary 11000011010101000001100 (23 bits)
Octal 0o30325014
Hexadecimal 0x61AA0C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 461 534 922 1,068 1,157 1,383 1,844 2,314 2,766 3,471 4,628 5,532 5,993 6,942 11,986 13,884 17,979 23,972 35,958 41,029 71,916 82,058 123,087 164,116 246,174 492,348 533,377 1,066,754 1,600,131 2,133,508 3,200,262 6,400,524

Collatz Trajectory (59 steps to reach 1)

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

6,400,524 3,200,262 1,600,131 4,800,394 2,400,197 7,200,592 3,600,296 1,800,148 900,074 450,037 1,350,112 675,056 337,528 168,764 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264 5,632 2,816 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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