λ
Ratio Atlas

30,011,039

101 × 107 × 2777
Deficient Odd Composite

30,011,039 factors as 101 × 107 × 2777. Its 8 positive divisors give a proper-divisor sum of 591,409, so this integer is deficient. The Collatz stopping time is 356 steps.

Prime Factor Structure

Factorization String 101 × 107 × 2777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 30,602,448
Proper Divisor Sum 591,409
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #30011029 ← → #30011041

Radix Representation

Decimal 30011039
Binary 1110010011110111010011111 (25 bits)
Octal 0o162367237
Hexadecimal 0x1C9EE9F

Divisor Catalog (8)

Collatz Trajectory (356 steps to reach 1)

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

30,011,039 90,033,118 45,016,559 135,049,678 67,524,839 202,574,518 101,287,259 303,861,778 151,930,889 455,792,668 227,896,334 113,948,167 341,844,502 170,922,251 512,766,754 256,383,377 769,150,132 384,575,066 192,287,533 576,862,600 288,431,300 144,215,650 72,107,825 216,323,476 108,161,738 54,080,869 162,242,608 81,121,304 40,560,652 20,280,326 10,140,163 30,420,490 15,210,245 45,630,736 22,815,368 11,407,684 5,703,842 2,851,921 8,555,764 4,277,882 2,138,941 6,416,824 3,208,412 1,604,206 802,103 2,406,310 1,203,155 3,609,466 1,804,733 5,414,200 2,707,100 1,353,550 676,775 2,030,326 1,015,163 3,045,490 1,522,745 4,568,236 2,284,118 1,142,059

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