λ
Integer Codex

5,306,984

23 × 37 × 17929
Deficient Even Composite

For 5,306,984, the 16 positive divisors have a total of 10,220,100. Removing 5,306,984 leaves 4,913,116, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 37 × 17929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,220,100
Proper Divisor Sum 4,913,116
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5306963 ← → #5306989

Radix Representation

Decimal 5306984
Binary 10100001111101001101000 (23 bits)
Octal 0o24175150
Hexadecimal 0x50FA68

Divisor Catalog (16)

1 2 4 8 37 74 148 296 17,929 35,858 71,716 143,432 663,373 1,326,746 2,653,492 5,306,984

Collatz Trajectory (126 steps to reach 1)

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

5,306,984 2,653,492 1,326,746 663,373 1,990,120 995,060 497,530 248,765 746,296 373,148 186,574 93,287 279,862 139,931 419,794 209,897 629,692 314,846 157,423 472,270 236,135 708,406 354,203 1,062,610 531,305 1,593,916 796,958 398,479 1,195,438 597,719 1,793,158 896,579 2,689,738 1,344,869 4,034,608 2,017,304 1,008,652 504,326 252,163 756,490 378,245 1,134,736 567,368 283,684 141,842 70,921 212,764 106,382 53,191 159,574 79,787 239,362 119,681 359,044 179,522 89,761 269,284 134,642 67,321 201,964

More profiles

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