λ
Prime Ledger

3,568,656

24 × 3 × 7 × 13 × 19 × 43
Abundant Even Composite

3,568,656 has the prime decomposition 2^4 × 3 × 7 × 13 × 19 × 43. Its 6 distinct prime factors produce 160 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 13 × 19 × 43
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 12,221,440
Proper Divisor Sum 8,652,784
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3568651 ← → #3568679

Radix Representation

Decimal 3568656
Binary 1101100111010000010000 (22 bits)
Octal 0o15472020
Hexadecimal 0x367410

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 43 48 52 56 57 76 78 84 86 91 104 112 114 129 133 152 156 168 172 182 208 228 247 258 266 273 301 304 312 336 344 364 399 456 494 516 532 546 559 602 624

Collatz Trajectory (66 steps to reach 1)

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

3,568,656 1,784,328 892,164 446,082 223,041 669,124 334,562 167,281 501,844 250,922 125,461 376,384 188,192 94,096 47,048 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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