λ
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Atlas › Integer Profiles › Node 48,110,524

48,110,524

22 × 7 × 11 × 181 × 863
Abundant Even Composite

48,110,524 factors as 2^2 × 7 × 11 × 181 × 863. Its 48 positive divisors give a proper-divisor sum of 57,560,132, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 181 × 863
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 105,670,656
Proper Divisor Sum 57,560,132
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #48110501 ← → #48110533

Radix Representation

Decimal 48110524
Binary 10110111100001101110111100 (26 bits)
Octal 0o267415674
Hexadecimal 0x2DE1BBC

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 77 154 181 308 362 724 863 1,267 1,726 1,991 2,534 3,452 3,982 5,068 6,041 7,964 9,493 12,082 13,937 18,986 24,164 27,874 37,972 55,748 66,451 132,902 156,203 265,804 312,406 624,812 1,093,421 1,718,233 2,186,842 3,436,466 4,373,684 6,872,932 12,027,631 24,055,262 48,110,524

Collatz Trajectory (93 steps to reach 1)

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

48,110,524 24,055,262 12,027,631 36,082,894 18,041,447 54,124,342 27,062,171 81,186,514 40,593,257 121,779,772 60,889,886 30,444,943 91,334,830 45,667,415 137,002,246 68,501,123 205,503,370 102,751,685 308,255,056 154,127,528 77,063,764 38,531,882 19,265,941 57,797,824 28,898,912 14,449,456 7,224,728 3,612,364 1,806,182 903,091 2,709,274 1,354,637 4,063,912 2,031,956 1,015,978 507,989 1,523,968 761,984 380,992 190,496 95,248 47,624 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236

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