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Atlas › Integer Profiles › Node 1,963,408

1,963,408

24 × 412 × 73
Abundant Even Composite

1,963,408 factors as 2^4 × 41^2 × 73. Its 30 positive divisors give a proper-divisor sum of 1,989,154, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^4 × 41^2 × 73
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 3,952,562
Proper Divisor Sum 1,989,154
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1963397 ← → #1963411

Radix Representation

Decimal 1963408
Binary 111011111010110010000 (21 bits)
Octal 0o7372620
Hexadecimal 0x1DF590

Divisor Catalog (30)

1 2 4 8 16 41 73 82 146 164 292 328 584 656 1,168 1,681 2,993 3,362 5,986 6,724 11,972 13,448 23,944 26,896 47,888 122,713 245,426 490,852 981,704 1,963,408

Collatz Trajectory (184 steps to reach 1)

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

1,963,408 981,704 490,852 245,426 122,713 368,140 184,070 92,035 276,106 138,053 414,160 207,080 103,540 51,770 25,885 77,656 38,828 19,414 9,707 29,122 14,561 43,684 21,842 10,921 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422

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