λ
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Atlas › Integer Profiles › Node 4,500,314

4,500,314

2 × 7 × 13 × 79 × 313
Deficient Even Composite

4,500,314 factors as 2 × 7 × 13 × 79 × 313. Its 32 positive divisors give a proper-divisor sum of 3,940,006, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 79 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,440,320
Proper Divisor Sum 3,940,006
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4500299 ← → #4500317

Radix Representation

Decimal 4500314
Binary 10001001010101101011010 (23 bits)
Octal 0o21125532
Hexadecimal 0x44AB5A

Divisor Catalog (32)

1 2 7 13 14 26 79 91 158 182 313 553 626 1,027 1,106 2,054 2,191 4,069 4,382 7,189 8,138 14,378 24,727 28,483 49,454 56,966 173,089 321,451 346,178 642,902 2,250,157 4,500,314

Collatz Trajectory (110 steps to reach 1)

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

4,500,314 2,250,157 6,750,472 3,375,236 1,687,618 843,809 2,531,428 1,265,714 632,857 1,898,572 949,286 474,643 1,423,930 711,965 2,135,896 1,067,948 533,974 266,987 800,962 400,481 1,201,444 600,722 300,361 901,084 450,542 225,271 675,814 337,907 1,013,722 506,861 1,520,584 760,292 380,146 190,073 570,220 285,110 142,555 427,666 213,833 641,500 320,750 160,375 481,126 240,563 721,690 360,845 1,082,536 541,268 270,634 135,317 405,952 202,976 101,488 50,744 25,372 12,686 6,343 19,030 9,515 28,546

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