λ
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Atlas › Integer Profiles › Node 53,500,342

53,500,342

2 × 7 × 43 × 181 × 491
Deficient Even Composite

53,500,342 factors as 2 × 7 × 43 × 181 × 491. Its 32 positive divisors give a proper-divisor sum of 41,058,122, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 7 × 43 × 181 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 94,558,464
Proper Divisor Sum 41,058,122
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #53500339 ← → #53500393

Radix Representation

Decimal 53500342
Binary 11001100000101100110110110 (26 bits)
Octal 0o314054666
Hexadecimal 0x33059B6

Divisor Catalog (32)

1 2 7 14 43 86 181 301 362 491 602 982 1,267 2,534 3,437 6,874 7,783 15,566 21,113 42,226 54,481 88,871 108,962 147,791 177,742 295,582 622,097 1,244,194 3,821,453 7,642,906 26,750,171 53,500,342

Collatz Trajectory (194 steps to reach 1)

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

53,500,342 26,750,171 80,250,514 40,125,257 120,375,772 60,187,886 30,093,943 90,281,830 45,140,915 135,422,746 67,711,373 203,134,120 101,567,060 50,783,530 25,391,765 76,175,296 38,087,648 19,043,824 9,521,912 4,760,956 2,380,478 1,190,239 3,570,718 1,785,359 5,356,078 2,678,039 8,034,118 4,017,059 12,051,178 6,025,589 18,076,768 9,038,384 4,519,192 2,259,596 1,129,798 564,899 1,694,698 847,349 2,542,048 1,271,024 635,512 317,756 158,878 79,439 238,318 119,159 357,478 178,739 536,218 268,109 804,328 402,164 201,082 100,541 301,624 150,812 75,406 37,703 113,110 56,555

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