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Atlas › Integer Profiles › Node 4,573,136

4,573,136

24 × 172 × 23 × 43
Abundant Even Composite

4,573,136 factors as 2^4 × 17^2 × 23 × 43. Its 60 positive divisors give a proper-divisor sum of 5,476,816, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^4 × 17^2 × 23 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 10,049,952
Proper Divisor Sum 5,476,816
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4573133 ← → #4573141

Radix Representation

Decimal 4573136
Binary 10001011100011111010000 (23 bits)
Octal 0o21343720
Hexadecimal 0x45C7D0

Divisor Catalog (60)

1 2 4 8 16 17 23 34 43 46 68 86 92 136 172 184 272 289 344 368 391 578 688 731 782 989 1,156 1,462 1,564 1,978 2,312 2,924 3,128 3,956 4,624 5,848 6,256 6,647 7,912 11,696 12,427 13,294 15,824 16,813 24,854 26,588 33,626 49,708 53,176 67,252 99,416 106,352 134,504 198,832 269,008 285,821 571,642 1,143,284 2,286,568 4,573,136

Collatz Trajectory (79 steps to reach 1)

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

4,573,136 2,286,568 1,143,284 571,642 285,821 857,464 428,732 214,366 107,183 321,550 160,775 482,326 241,163 723,490 361,745 1,085,236 542,618 271,309 813,928 406,964 203,482 101,741 305,224 152,612 76,306 38,153 114,460 57,230 28,615 85,846 42,923 128,770 64,385 193,156 96,578 48,289 144,868 72,434 36,217 108,652 54,326 27,163 81,490 40,745 122,236 61,118 30,559 91,678 45,839 137,518 68,759 206,278 103,139 309,418 154,709 464,128 232,064 116,032 58,016 29,008

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