λ
Ratio Atlas

87,771,113

2341 × 37493
Deficient Odd Composite

87,771,113 factors as 2341 × 37493. Its 4 positive divisors give a proper-divisor sum of 39,835, so this integer is deficient. The Collatz stopping time is 311 steps.

Prime Factor Structure

Factorization String 2341 × 37493
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 87,810,948
Proper Divisor Sum 39,835
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #87771109 ← → #87771143

Radix Representation

Decimal 87771113
Binary 101001110110100011111101001 (27 bits)
Octal 0o516643751
Hexadecimal 0x53B47E9

Divisor Catalog (4)

Collatz Trajectory (311 steps to reach 1)

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

87,771,113 263,313,340 131,656,670 65,828,335 197,485,006 98,742,503 296,227,510 148,113,755 444,341,266 222,170,633 666,511,900 333,255,950 166,627,975 499,883,926 249,941,963 749,825,890 374,912,945 1,124,738,836 562,369,418 281,184,709 843,554,128 421,777,064 210,888,532 105,444,266 52,722,133 158,166,400 79,083,200 39,541,600 19,770,800 9,885,400 4,942,700 2,471,350 1,235,675 3,707,026 1,853,513 5,560,540 2,780,270 1,390,135 4,170,406 2,085,203 6,255,610 3,127,805 9,383,416 4,691,708 2,345,854 1,172,927 3,518,782 1,759,391 5,278,174 2,639,087 7,917,262 3,958,631 11,875,894 5,937,947 17,813,842 8,906,921 26,720,764 13,360,382 6,680,191 20,040,574

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