λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,091,590

8,091,590

2 × 5 × 13 × 67 × 929
Deficient Even Composite

8,091,590 factors as 2 × 5 × 13 × 67 × 929. Its 32 positive divisors give a proper-divisor sum of 7,844,890, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 67 × 929
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,936,480
Proper Divisor Sum 7,844,890
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8091583 ← → #8091617

Radix Representation

Decimal 8091590
Binary 11110110111011111000110 (23 bits)
Octal 0o36673706
Hexadecimal 0x7B77C6

Divisor Catalog (32)

1 2 5 10 13 26 65 67 130 134 335 670 871 929 1,742 1,858 4,355 4,645 8,710 9,290 12,077 24,154 60,385 62,243 120,770 124,486 311,215 622,430 809,159 1,618,318 4,045,795 8,091,590

Collatz Trajectory (111 steps to reach 1)

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

8,091,590 4,045,795 12,137,386 6,068,693 18,206,080 9,103,040 4,551,520 2,275,760 1,137,880 568,940 284,470 142,235 426,706 213,353 640,060 320,030 160,015 480,046 240,023 720,070 360,035 1,080,106 540,053 1,620,160 810,080 405,040 202,520 101,260 50,630 25,315 75,946 37,973 113,920 56,960 28,480 14,240 7,120 3,560 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,091,589 Browse Full Index Next Integer #8,091,591 →