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Atlas › Integer Profiles › Node 31,990,488

31,990,488

23 × 3 × 331 × 4027
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 331 × 4027
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,237,760
Proper Divisor Sum 48,247,272
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #31990487 ← → #31990489

Radix Representation

Decimal 31990488
Binary 1111010000010001011011000 (25 bits)
Octal 0o172021330
Hexadecimal 0x1E822D8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 331 662 993 1,324 1,986 2,648 3,972 4,027 7,944 8,054 12,081 16,108 24,162 32,216 48,324 96,648 1,332,937 2,665,874 3,998,811 5,331,748 7,997,622 10,663,496 15,995,244 31,990,488

Collatz Trajectory (263 steps to reach 1)

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

31,990,488 15,995,244 7,997,622 3,998,811 11,996,434 5,998,217 17,994,652 8,997,326 4,498,663 13,495,990 6,747,995 20,243,986 10,121,993 30,365,980 15,182,990 7,591,495 22,774,486 11,387,243 34,161,730 17,080,865 51,242,596 25,621,298 12,810,649 38,431,948 19,215,974 9,607,987 28,823,962 14,411,981 43,235,944 21,617,972 10,808,986 5,404,493 16,213,480 8,106,740 4,053,370 2,026,685 6,080,056 3,040,028 1,520,014 760,007 2,280,022 1,140,011 3,420,034 1,710,017 5,130,052 2,565,026 1,282,513 3,847,540 1,923,770 961,885 2,885,656 1,442,828 721,414 360,707 1,082,122 541,061 1,623,184 811,592 405,796 202,898

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