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Atlas › Integer Profiles › Node 5,086,926

5,086,926

2 × 32 × 13 × 21739
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 21739
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,870,040
Proper Divisor Sum 6,783,114
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5086909 ← → #5086931

Radix Representation

Decimal 5086926
Binary 10011011001111011001110 (23 bits)
Octal 0o23317316
Hexadecimal 0x4D9ECE

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 21,739 43,478 65,217 130,434 195,651 282,607 391,302 565,214 847,821 1,695,642 2,543,463 5,086,926

Collatz Trajectory (157 steps to reach 1)

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

5,086,926 2,543,463 7,630,390 3,815,195 11,445,586 5,722,793 17,168,380 8,584,190 4,292,095 12,876,286 6,438,143 19,314,430 9,657,215 28,971,646 14,485,823 43,457,470 21,728,735 65,186,206 32,593,103 97,779,310 48,889,655 146,668,966 73,334,483 220,003,450 110,001,725 330,005,176 165,002,588 82,501,294 41,250,647 123,751,942 61,875,971 185,627,914 92,813,957 278,441,872 139,220,936 69,610,468 34,805,234 17,402,617 52,207,852 26,103,926 13,051,963 39,155,890 19,577,945 58,733,836 29,366,918 14,683,459 44,050,378 22,025,189 66,075,568 33,037,784 16,518,892 8,259,446 4,129,723 12,389,170 6,194,585 18,583,756 9,291,878 4,645,939 13,937,818 6,968,909

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