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40,486,930

2 × 5 × 11 × 312 × 383
Abundant Even Composite

40,486,930 factors as 2 × 5 × 11 × 31^2 × 383. Its 48 positive divisors give a proper-divisor sum of 41,876,462, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 31^2 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 82,363,392
Proper Divisor Sum 41,876,462
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #40486907 ← → #40486949

Radix Representation

Decimal 40486930
Binary 10011010011100100000010010 (26 bits)
Octal 0o232344022
Hexadecimal 0x269C812

Divisor Catalog (48)

1 2 5 10 11 22 31 55 62 110 155 310 341 383 682 766 961 1,705 1,915 1,922 3,410 3,830 4,213 4,805 8,426 9,610 10,571 11,873 21,065 21,142 23,746 42,130 52,855 59,365 105,710 118,730 130,603 261,206 368,063 653,015 736,126 1,306,030 1,840,315 3,680,630 4,048,693 8,097,386 20,243,465 40,486,930

Collatz Trajectory (253 steps to reach 1)

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

40,486,930 20,243,465 60,730,396 30,365,198 15,182,599 45,547,798 22,773,899 68,321,698 34,160,849 102,482,548 51,241,274 25,620,637 76,861,912 38,430,956 19,215,478 9,607,739 28,823,218 14,411,609 43,234,828 21,617,414 10,808,707 32,426,122 16,213,061 48,639,184 24,319,592 12,159,796 6,079,898 3,039,949 9,119,848 4,559,924 2,279,962 1,139,981 3,419,944 1,709,972 854,986 427,493 1,282,480 641,240 320,620 160,310 80,155 240,466 120,233 360,700 180,350 90,175 270,526 135,263 405,790 202,895 608,686 304,343 913,030 456,515 1,369,546 684,773 2,054,320 1,027,160 513,580 256,790

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