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Atlas › Integer Profiles › Node 3,145,584

3,145,584

24 × 3 × 13 × 712
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 71^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 8,876,168
Proper Divisor Sum 5,730,584
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3145577 ← → #3145589

Radix Representation

Decimal 3145584
Binary 1011111111111101110000 (22 bits)
Octal 0o13777560
Hexadecimal 0x2FFF70

Divisor Catalog (60)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 208 213 284 312 426 568 624 852 923 1,136 1,704 1,846 2,769 3,408 3,692 5,041 5,538 7,384 10,082 11,076 14,768 15,123 20,164 22,152 30,246 40,328 44,304 60,492 65,533 80,656 120,984 131,066 196,599 241,968 262,132 393,198 524,264 786,396 1,048,528 1,572,792 3,145,584

Collatz Trajectory (76 steps to reach 1)

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

3,145,584 1,572,792 786,396 393,198 196,599 589,798 294,899 884,698 442,349 1,327,048 663,524 331,762 165,881 497,644 248,822 124,411 373,234 186,617 559,852 279,926 139,963 419,890 209,945 629,836 314,918 157,459 472,378 236,189 708,568 354,284 177,142 88,571 265,714 132,857 398,572 199,286 99,643 298,930 149,465 448,396 224,198 112,099 336,298 168,149 504,448 252,224 126,112 63,056 31,528 15,764 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109 3,328

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