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Atlas › Integer Profiles › Node 4,422,652

4,422,652

22 × 13 × 17 × 5003
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 5003
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,827,056
Proper Divisor Sum 4,404,404
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4422643 ← → #4422667

Radix Representation

Decimal 4422652
Binary 10000110111101111111100 (23 bits)
Octal 0o20675774
Hexadecimal 0x437BFC

Divisor Catalog (24)

1 2 4 13 17 26 34 52 68 221 442 884 5,003 10,006 20,012 65,039 85,051 130,078 170,102 260,156 340,204 1,105,663 2,211,326 4,422,652

Collatz Trajectory (211 steps to reach 1)

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

4,422,652 2,211,326 1,105,663 3,316,990 1,658,495 4,975,486 2,487,743 7,463,230 3,731,615 11,194,846 5,597,423 16,792,270 8,396,135 25,188,406 12,594,203 37,782,610 18,891,305 56,673,916 28,336,958 14,168,479 42,505,438 21,252,719 63,758,158 31,879,079 95,637,238 47,818,619 143,455,858 71,727,929 215,183,788 107,591,894 53,795,947 161,387,842 80,693,921 242,081,764 121,040,882 60,520,441 181,561,324 90,780,662 45,390,331 136,170,994 68,085,497 204,256,492 102,128,246 51,064,123 153,192,370 76,596,185 229,788,556 114,894,278 57,447,139 172,341,418 86,170,709 258,512,128 129,256,064 64,628,032 32,314,016 16,157,008 8,078,504 4,039,252 2,019,626 1,009,813

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