λ
Ratio Atlas

20,007,359

20007359
Deficient Odd Prime

20,007,359 factors as 20007359. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 358 steps.

Prime Factor Structure

Factorization String 20007359
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 20,007,360
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #20007319 ← → #20007371

Radix Representation

Decimal 20007359
Binary 1001100010100100110111111 (25 bits)
Octal 0o114244677
Hexadecimal 0x13149BF

Divisor Catalog (2)

Collatz Trajectory (358 steps to reach 1)

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

20,007,359 60,022,078 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

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