λ
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Atlas › Integer Profiles › Node 5,702,942

5,702,942

2 × 7 × 23 × 89 × 199
Deficient Even Composite

5,702,942 factors as 2 × 7 × 23 × 89 × 199. Its 32 positive divisors give a proper-divisor sum of 4,665,058, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 7 × 23 × 89 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,368,000
Proper Divisor Sum 4,665,058
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5702941 ← → #5702947

Radix Representation

Decimal 5702942
Binary 10101110000010100011110 (23 bits)
Octal 0o25602436
Hexadecimal 0x57051E

Divisor Catalog (32)

1 2 7 14 23 46 89 161 178 199 322 398 623 1,246 1,393 2,047 2,786 4,094 4,577 9,154 14,329 17,711 28,658 32,039 35,422 64,078 123,977 247,954 407,353 814,706 2,851,471 5,702,942

Collatz Trajectory (183 steps to reach 1)

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

5,702,942 2,851,471 8,554,414 4,277,207 12,831,622 6,415,811 19,247,434 9,623,717 28,871,152 14,435,576 7,217,788 3,608,894 1,804,447 5,413,342 2,706,671 8,120,014 4,060,007 12,180,022 6,090,011 18,270,034 9,135,017 27,405,052 13,702,526 6,851,263 20,553,790 10,276,895 30,830,686 15,415,343 46,246,030 23,123,015 69,369,046 34,684,523 104,053,570 52,026,785 156,080,356 78,040,178 39,020,089 117,060,268 58,530,134 29,265,067 87,795,202 43,897,601 131,692,804 65,846,402 32,923,201 98,769,604 49,384,802 24,692,401 74,077,204 37,038,602 18,519,301 55,557,904 27,778,952 13,889,476 6,944,738 3,472,369 10,417,108 5,208,554 2,604,277 7,812,832

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