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Atlas › Integer Profiles › Node 20,002,682

20,002,682

2 × 72 × 401 × 509
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 401 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 35,058,420
Proper Divisor Sum 15,055,738
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #20002679 ← → #20002691

Radix Representation

Decimal 20002682
Binary 1001100010011011101111010 (25 bits)
Octal 0o114233572
Hexadecimal 0x131377A

Divisor Catalog (24)

1 2 7 14 49 98 401 509 802 1,018 2,807 3,563 5,614 7,126 19,649 24,941 39,298 49,882 204,109 408,218 1,428,763 2,857,526 10,001,341 20,002,682

Collatz Trajectory (138 steps to reach 1)

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

20,002,682 10,001,341 30,004,024 15,002,012 7,501,006 3,750,503 11,251,510 5,625,755 16,877,266 8,438,633 25,315,900 12,657,950 6,328,975 18,986,926 9,493,463 28,480,390 14,240,195 42,720,586 21,360,293 64,080,880 32,040,440 16,020,220 8,010,110 4,005,055 12,015,166 6,007,583 18,022,750 9,011,375 27,034,126 13,517,063 40,551,190 20,275,595 60,826,786 30,413,393 91,240,180 45,620,090 22,810,045 68,430,136 34,215,068 17,107,534 8,553,767 25,661,302 12,830,651 38,491,954 19,245,977 57,737,932 28,868,966 14,434,483 43,303,450 21,651,725 64,955,176 32,477,588 16,238,794 8,119,397 24,358,192 12,179,096 6,089,548 3,044,774 1,522,387 4,567,162

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