λ
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Atlas › Integer Profiles › Node 5,114,272

5,114,272

25 × 71 × 2251
Deficient Even Composite

5,114,272 factors as 2^5 × 71 × 2251. Its 24 positive divisors give a proper-divisor sum of 5,100,800, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^5 × 71 × 2251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,215,072
Proper Divisor Sum 5,100,800
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #5114269 ← → #5114273

Radix Representation

Decimal 5114272
Binary 10011100000100110100000 (23 bits)
Octal 0o23404640
Hexadecimal 0x4E09A0

Divisor Catalog (24)

1 2 4 8 16 32 71 142 284 568 1,136 2,251 2,272 4,502 9,004 18,008 36,016 72,032 159,821 319,642 639,284 1,278,568 2,557,136 5,114,272

Collatz Trajectory (175 steps to reach 1)

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

5,114,272 2,557,136 1,278,568 639,284 319,642 159,821 479,464 239,732 119,866 59,933 179,800 89,900 44,950 22,475 67,426 33,713 101,140 50,570 25,285 75,856 37,928 18,964 9,482 4,741 14,224 7,112 3,556 1,778 889 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422

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