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Atlas › Integer Profiles › Node 92,425,338

92,425,338

2 × 32 × 1019 × 5039
Abundant Even Composite

92,425,338 factors as 2 × 3^2 × 1019 × 5039. Its 24 positive divisors give a proper-divisor sum of 108,065,862, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 1019 × 5039
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 200,491,200
Proper Divisor Sum 108,065,862
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #92425337 ← → #92425381

Radix Representation

Decimal 92425338
Binary 101100000100100110001111010 (27 bits)
Octal 0o540446172
Hexadecimal 0x5824C7A

Divisor Catalog (24)

1 2 3 6 9 18 1,019 2,038 3,057 5,039 6,114 9,171 10,078 15,117 18,342 30,234 45,351 90,702 5,134,741 10,269,482 15,404,223 30,808,446 46,212,669 92,425,338

Collatz Trajectory (112 steps to reach 1)

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

92,425,338 46,212,669 138,638,008 69,319,004 34,659,502 17,329,751 51,989,254 25,994,627 77,983,882 38,991,941 116,975,824 58,487,912 29,243,956 14,621,978 7,310,989 21,932,968 10,966,484 5,483,242 2,741,621 8,224,864 4,112,432 2,056,216 1,028,108 514,054 257,027 771,082 385,541 1,156,624 578,312 289,156 144,578 72,289 216,868 108,434 54,217 162,652 81,326 40,663 121,990 60,995 182,986 91,493 274,480 137,240 68,620 34,310 17,155 51,466 25,733 77,200 38,600 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288

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