λ
Integer Codex

4,917,688

23 × 199 × 3089
Deficient Even Composite

For 4,917,688, the 16 positive divisors have a total of 9,270,000. Removing 4,917,688 leaves 4,352,312, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 199 × 3089
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,270,000
Proper Divisor Sum 4,352,312
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #4917659 ← → #4917721

Radix Representation

Decimal 4917688
Binary 10010110000100110111000 (23 bits)
Octal 0o22604670
Hexadecimal 0x4B09B8

Divisor Catalog (16)

1 2 4 8 199 398 796 1,592 3,089 6,178 12,356 24,712 614,711 1,229,422 2,458,844 4,917,688

Collatz Trajectory (175 steps to reach 1)

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

4,917,688 2,458,844 1,229,422 614,711 1,844,134 922,067 2,766,202 1,383,101 4,149,304 2,074,652 1,037,326 518,663 1,555,990 777,995 2,333,986 1,166,993 3,500,980 1,750,490 875,245 2,625,736 1,312,868 656,434 328,217 984,652 492,326 246,163 738,490 369,245 1,107,736 553,868 276,934 138,467 415,402 207,701 623,104 311,552 155,776 77,888 38,944 19,472 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145

More profiles

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