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Atlas › Integer Profiles › Node 20,005,950

20,005,950

2 × 3 × 52 × 41 × 3253
Abundant Even Composite

20,005,950 factors as 2 × 3 × 5^2 × 41 × 3253. Its 48 positive divisors give a proper-divisor sum of 30,834,546, so this integer is abundant. The Collatz stopping time is 283 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 41 × 3253
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 50,840,496
Proper Divisor Sum 30,834,546
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20005949 ← → #20005981

Radix Representation

Decimal 20005950
Binary 1001100010100010000111110 (25 bits)
Octal 0o114242076
Hexadecimal 0x131443E

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 410 615 1,025 1,230 2,050 3,075 3,253 6,150 6,506 9,759 16,265 19,518 32,530 48,795 81,325 97,590 133,373 162,650 243,975 266,746 400,119 487,950 666,865 800,238 1,333,730 2,000,595 3,334,325 4,001,190 6,668,650 10,002,975 20,005,950

Collatz Trajectory (283 steps to reach 1)

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

20,005,950 10,002,975 30,008,926 15,004,463 45,013,390 22,506,695 67,520,086 33,760,043 101,280,130 50,640,065 151,920,196 75,960,098 37,980,049 113,940,148 56,970,074 28,485,037 85,455,112 42,727,556 21,363,778 10,681,889 32,045,668 16,022,834 8,011,417 24,034,252 12,017,126 6,008,563 18,025,690 9,012,845 27,038,536 13,519,268 6,759,634 3,379,817 10,139,452 5,069,726 2,534,863 7,604,590 3,802,295 11,406,886 5,703,443 17,110,330 8,555,165 25,665,496 12,832,748 6,416,374 3,208,187 9,624,562 4,812,281 14,436,844 7,218,422 3,609,211 10,827,634 5,413,817 16,241,452 8,120,726 4,060,363 12,181,090 6,090,545 18,271,636 9,135,818 4,567,909

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