λ
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Atlas › Integer Profiles › Node 47,092,036

47,092,036

22 × 89 × 179 × 739
Deficient Even Composite

47,092,036 factors as 2^2 × 89 × 179 × 739. Its 24 positive divisors give a proper-divisor sum of 36,823,964, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 89 × 179 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 83,916,000
Proper Divisor Sum 36,823,964
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #47092021 ← → #47092039

Radix Representation

Decimal 47092036
Binary 10110011101001000101000100 (26 bits)
Octal 0o263510504
Hexadecimal 0x2CE9144

Divisor Catalog (24)

1 2 4 89 178 179 356 358 716 739 1,478 2,956 15,931 31,862 63,724 65,771 131,542 132,281 263,084 264,562 529,124 11,773,009 23,546,018 47,092,036

Collatz Trajectory (204 steps to reach 1)

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

47,092,036 23,546,018 11,773,009 35,319,028 17,659,514 8,829,757 26,489,272 13,244,636 6,622,318 3,311,159 9,933,478 4,966,739 14,900,218 7,450,109 22,350,328 11,175,164 5,587,582 2,793,791 8,381,374 4,190,687 12,572,062 6,286,031 18,858,094 9,429,047 28,287,142 14,143,571 42,430,714 21,215,357 63,646,072 31,823,036 15,911,518 7,955,759 23,867,278 11,933,639 35,800,918 17,900,459 53,701,378 26,850,689 80,552,068 40,276,034 20,138,017 60,414,052 30,207,026 15,103,513 45,310,540 22,655,270 11,327,635 33,982,906 16,991,453 50,974,360 25,487,180 12,743,590 6,371,795 19,115,386 9,557,693 28,673,080 14,336,540 7,168,270 3,584,135 10,752,406

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