λ
Ratio Atlas

48,129,491

1109 × 43399
Deficient Odd Composite

48,129,491 factors as 1109 × 43399. Its 4 positive divisors give a proper-divisor sum of 44,509, so this integer is deficient. The Collatz stopping time is 367 steps.

Prime Factor Structure

Factorization String 1109 × 43399
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 48,174,000
Proper Divisor Sum 44,509
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #48129479 ← → #48129503

Radix Representation

Decimal 48129491
Binary 10110111100110010111010011 (26 bits)
Octal 0o267462723
Hexadecimal 0x2DE65D3

Divisor Catalog (4)

Collatz Trajectory (367 steps to reach 1)

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

48,129,491 144,388,474 72,194,237 216,582,712 108,291,356 54,145,678 27,072,839 81,218,518 40,609,259 121,827,778 60,913,889 182,741,668 91,370,834 45,685,417 137,056,252 68,528,126 34,264,063 102,792,190 51,396,095 154,188,286 77,094,143 231,282,430 115,641,215 346,923,646 173,461,823 520,385,470 260,192,735 780,578,206 390,289,103 1,170,867,310 585,433,655 1,756,300,966 878,150,483 2,634,451,450 1,317,225,725 3,951,677,176 1,975,838,588 987,919,294 493,959,647 1,481,878,942 740,939,471 2,222,818,414 1,111,409,207 3,334,227,622 1,667,113,811 5,001,341,434 2,500,670,717 7,502,012,152 3,751,006,076 1,875,503,038 937,751,519 2,813,254,558 1,406,627,279 4,219,881,838 2,109,940,919 6,329,822,758 3,164,911,379 9,494,734,138 4,747,367,069 14,242,101,208

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