λ
Integer Codex

1,676,248

23 × 7 × 37 × 809
Abundant Even Composite

For 1,676,248, the 32 positive divisors have a total of 3,693,600. Removing 1,676,248 leaves 2,017,352, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 7 × 37 × 809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,693,600
Proper Divisor Sum 2,017,352
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1676243 ← → #1676261

Radix Representation

Decimal 1676248
Binary 110011001001111011000 (21 bits)
Octal 0o6311730
Hexadecimal 0x1993D8

Divisor Catalog (32)

1 2 4 7 8 14 28 37 56 74 148 259 296 518 809 1,036 1,618 2,072 3,236 5,663 6,472 11,326 22,652 29,933 45,304 59,866 119,732 209,531 239,464 419,062 838,124 1,676,248

Collatz Trajectory (176 steps to reach 1)

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

1,676,248 838,124 419,062 209,531 628,594 314,297 942,892 471,446 235,723 707,170 353,585 1,060,756 530,378 265,189 795,568 397,784 198,892 99,446 49,723 149,170 74,585 223,756 111,878 55,939 167,818 83,909 251,728 125,864 62,932 31,466 15,733 47,200 23,600 11,800 5,900 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777

More profiles

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