λ
Ratio Atlas

91,128,827

1579 × 57713
Deficient Odd Composite

91,128,827 factors as 1579 × 57713. Its 4 positive divisors give a proper-divisor sum of 59,293, so this integer is deficient. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 1579 × 57713
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 91,188,120
Proper Divisor Sum 59,293
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #91128811 ← → #91128833

Radix Representation

Decimal 91128827
Binary 101011011101000001111111011 (27 bits)
Octal 0o533501773
Hexadecimal 0x56E83FB

Divisor Catalog (4)

Collatz Trajectory (249 steps to reach 1)

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

91,128,827 273,386,482 136,693,241 410,079,724 205,039,862 102,519,931 307,559,794 153,779,897 461,339,692 230,669,846 115,334,923 346,004,770 173,002,385 519,007,156 259,503,578 129,751,789 389,255,368 194,627,684 97,313,842 48,656,921 145,970,764 72,985,382 36,492,691 109,478,074 54,739,037 164,217,112 82,108,556 41,054,278 20,527,139 61,581,418 30,790,709 92,372,128 46,186,064 23,093,032 11,546,516 5,773,258 2,886,629 8,659,888 4,329,944 2,164,972 1,082,486 541,243 1,623,730 811,865 2,435,596 1,217,798 608,899 1,826,698 913,349 2,740,048 1,370,024 685,012 342,506 171,253 513,760 256,880 128,440 64,220 32,110 16,055

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