λ
Integer Codex

8,066,817

33 × 11 × 157 × 173
Deficient Odd Composite

For 8,066,817, the 32 positive divisors have a total of 13,196,160. Removing 8,066,817 leaves 5,129,343, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 11 × 157 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,196,160
Proper Divisor Sum 5,129,343
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8066797 ← → #8066827

Radix Representation

Decimal 8066817
Binary 11110110001011100000001 (23 bits)
Octal 0o36613401
Hexadecimal 0x7B1701

Divisor Catalog (32)

1 3 9 11 27 33 99 157 173 297 471 519 1,413 1,557 1,727 1,903 4,239 4,671 5,181 5,709 15,543 17,127 27,161 46,629 51,381 81,483 244,449 298,771 733,347 896,313 2,688,939 8,066,817

Collatz Trajectory (93 steps to reach 1)

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

8,066,817 24,200,452 12,100,226 6,050,113 18,150,340 9,075,170 4,537,585 13,612,756 6,806,378 3,403,189 10,209,568 5,104,784 2,552,392 1,276,196 638,098 319,049 957,148 478,574 239,287 717,862 358,931 1,076,794 538,397 1,615,192 807,596 403,798 201,899 605,698 302,849 908,548 454,274 227,137 681,412 340,706 170,353 511,060 255,530 127,765 383,296 191,648 95,824 47,912 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238

More profiles

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