λ
Integer Codex

8,182,257

3 × 2727419
Deficient Odd Composite

For 8,182,257, the 4 positive divisors have a total of 10,909,680. Removing 8,182,257 leaves 2,727,423, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 2727419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,909,680
Proper Divisor Sum 2,727,423
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8182243 ← → #8182259

Radix Representation

Decimal 8182257
Binary 11111001101100111110001 (23 bits)
Octal 0o37154761
Hexadecimal 0x7CD9F1

Divisor Catalog (4)

1 3 2,727,419 8,182,257

Collatz Trajectory (106 steps to reach 1)

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

8,182,257 24,546,772 12,273,386 6,136,693 18,410,080 9,205,040 4,602,520 2,301,260 1,150,630 575,315 1,725,946 862,973 2,588,920 1,294,460 647,230 323,615 970,846 485,423 1,456,270 728,135 2,184,406 1,092,203 3,276,610 1,638,305 4,914,916 2,457,458 1,228,729 3,686,188 1,843,094 921,547 2,764,642 1,382,321 4,146,964 2,073,482 1,036,741 3,110,224 1,555,112 777,556 388,778 194,389 583,168 291,584 145,792 72,896 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444

More profiles

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