λ
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Atlas › Integer Profiles › Node 8,308,065

8,308,065

3 × 5 × 29 × 71 × 269
Deficient Odd Composite

8,308,065 factors as 3 × 5 × 29 × 71 × 269. Its 32 positive divisors give a proper-divisor sum of 5,688,735, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 71 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,996,800
Proper Divisor Sum 5,688,735
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8308063 ← → #8308103

Radix Representation

Decimal 8308065
Binary 11111101100010101100001 (23 bits)
Octal 0o37542541
Hexadecimal 0x7EC561

Divisor Catalog (32)

1 3 5 15 29 71 87 145 213 269 355 435 807 1,065 1,345 2,059 4,035 6,177 7,801 10,295 19,099 23,403 30,885 39,005 57,297 95,495 117,015 286,485 553,871 1,661,613 2,769,355 8,308,065

Collatz Trajectory (230 steps to reach 1)

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

8,308,065 24,924,196 12,462,098 6,231,049 18,693,148 9,346,574 4,673,287 14,019,862 7,009,931 21,029,794 10,514,897 31,544,692 15,772,346 7,886,173 23,658,520 11,829,260 5,914,630 2,957,315 8,871,946 4,435,973 13,307,920 6,653,960 3,326,980 1,663,490 831,745 2,495,236 1,247,618 623,809 1,871,428 935,714 467,857 1,403,572 701,786 350,893 1,052,680 526,340 263,170 131,585 394,756 197,378 98,689 296,068 148,034 74,017 222,052 111,026 55,513 166,540 83,270 41,635 124,906 62,453 187,360 93,680 46,840 23,420 11,710 5,855 17,566 8,783

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