λ
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Atlas › Integer Profiles › Node 8,306,445

8,306,445

3 × 5 × 7 × 239 × 331
Deficient Odd Composite

8,306,445 factors as 3 × 5 × 7 × 239 × 331. Its 32 positive divisors give a proper-divisor sum of 6,992,115, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 239 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,298,560
Proper Divisor Sum 6,992,115
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8306429 ← → #8306449

Radix Representation

Decimal 8306445
Binary 11111101011111100001101 (23 bits)
Octal 0o37537415
Hexadecimal 0x7EBF0D

Divisor Catalog (32)

1 3 5 7 15 21 35 105 239 331 717 993 1,195 1,655 1,673 2,317 3,585 4,965 5,019 6,951 8,365 11,585 25,095 34,755 79,109 237,327 395,545 553,763 1,186,635 1,661,289 2,768,815 8,306,445

Collatz Trajectory (168 steps to reach 1)

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

8,306,445 24,919,336 12,459,668 6,229,834 3,114,917 9,344,752 4,672,376 2,336,188 1,168,094 584,047 1,752,142 876,071 2,628,214 1,314,107 3,942,322 1,971,161 5,913,484 2,956,742 1,478,371 4,435,114 2,217,557 6,652,672 3,326,336 1,663,168 831,584 415,792 207,896 103,948 51,974 25,987 77,962 38,981 116,944 58,472 29,236 14,618 7,309 21,928 10,964 5,482 2,741 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

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