λ
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8,646,506

2 × 11 × 17 × 61 × 379
Deficient Even Composite

8,646,506 factors as 2 × 11 × 17 × 61 × 379. Its 32 positive divisors give a proper-divisor sum of 6,620,374, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2 × 11 × 17 × 61 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,266,880
Proper Divisor Sum 6,620,374
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8646503 ← → #8646511

Radix Representation

Decimal 8646506
Binary 100000111110111101101010 (24 bits)
Octal 0o40767552
Hexadecimal 0x83EF6A

Divisor Catalog (32)

1 2 11 17 22 34 61 122 187 374 379 671 758 1,037 1,342 2,074 4,169 6,443 8,338 11,407 12,886 22,814 23,119 46,238 70,873 141,746 254,309 393,023 508,618 786,046 4,323,253 8,646,506

Collatz Trajectory (67 steps to reach 1)

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

8,646,506 4,323,253 12,969,760 6,484,880 3,242,440 1,621,220 810,610 405,305 1,215,916 607,958 303,979 911,938 455,969 1,367,908 683,954 341,977 1,025,932 512,966 256,483 769,450 384,725 1,154,176 577,088 288,544 144,272 72,136 36,068 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256

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