λ
Ratio Atlas

48,845,348

22 × 12211337
Deficient Even Composite

48,845,348 factors as 2^2 × 12211337. Its 6 positive divisors give a proper-divisor sum of 36,634,018, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 12211337
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 85,479,366
Proper Divisor Sum 36,634,018
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #48845347 ← → #48845351

Radix Representation

Decimal 48845348
Binary 10111010010101001000100100 (26 bits)
Octal 0o272251044
Hexadecimal 0x2E95224

Divisor Catalog (6)

Collatz Trajectory (137 steps to reach 1)

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

48,845,348 24,422,674 12,211,337 36,634,012 18,317,006 9,158,503 27,475,510 13,737,755 41,213,266 20,606,633 61,819,900 30,909,950 15,454,975 46,364,926 23,182,463 69,547,390 34,773,695 104,321,086 52,160,543 156,481,630 78,240,815 234,722,446 117,361,223 352,083,670 176,041,835 528,125,506 264,062,753 792,188,260 396,094,130 198,047,065 594,141,196 297,070,598 148,535,299 445,605,898 222,802,949 668,408,848 334,204,424 167,102,212 83,551,106 41,775,553 125,326,660 62,663,330 31,331,665 93,994,996 46,997,498 23,498,749 70,496,248 35,248,124 17,624,062 8,812,031 26,436,094 13,218,047 39,654,142 19,827,071 59,481,214 29,740,607 89,221,822 44,610,911 133,832,734 66,916,367

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