λ
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Atlas › Integer Profiles › Node 83,719,174

83,719,174

2 × 7 × 112 × 73 × 677
Deficient Even Composite

83,719,174 factors as 2 × 7 × 11^2 × 73 × 677. Its 48 positive divisors give a proper-divisor sum of 76,429,850, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 7 × 11^2 × 73 × 677
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 160,149,024
Proper Divisor Sum 76,429,850
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #83719157 ← → #83719199

Radix Representation

Decimal 83719174
Binary 100111111010111010000000110 (27 bits)
Octal 0o477272006
Hexadecimal 0x4FD7406

Divisor Catalog (48)

1 2 7 11 14 22 73 77 121 146 154 242 511 677 803 847 1,022 1,354 1,606 1,694 4,739 5,621 7,447 8,833 9,478 11,242 14,894 17,666 49,421 52,129 61,831 81,917 98,842 104,258 123,662 163,834 345,947 543,631 573,419 691,894 1,087,262 1,146,838 3,805,417 5,979,941 7,610,834 11,959,882 41,859,587 83,719,174

Collatz Trajectory (210 steps to reach 1)

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

83,719,174 41,859,587 125,578,762 62,789,381 188,368,144 94,184,072 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

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