8,089,680

2⁴ × 3 × 5 × 37 × 911

8,089,680 factors as 2^4 × 3 × 5 × 37 × 911. Its 80 positive divisors give a proper-divisor sum of 17,694,384, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 37 × 911

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 25,784,064

Proper Divisor Sum 17,694,384

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8089673 ← → #8089681

Radix Representation

Decimal	8089680
Binary	11110110111000001010000 (23 bits)
Octal	0o36670120
Hexadecimal	0x7B7050

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 911 1,110 1,480 1,776 1,822 2,220 2,733 2,960 3,644 4,440 4,555 5,466 7,288 8,880 9,110 10,932 13,665 14,576 18,220 21,864 27,330 33,707 36,440 43,728 54,660 67,414 72,880

Collatz Trajectory (85 steps to reach 1)

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

8,089,680 4,044,840 2,022,420 1,011,210 505,605 1,516,816 758,408 379,204 189,602 94,801 284,404 142,202 71,101 213,304 106,652 53,326 26,663 79,990 39,995 119,986 59,993 179,980 89,990 44,995 134,986 67,493 202,480 101,240 50,620 25,310 12,655 37,966 18,983 56,950 28,475 85,426 42,713 128,140 64,070 32,035 96,106 48,053 144,160 72,080 36,040 18,020 9,010 4,505 13,516 6,758 3,379 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #8,089,679 Browse Full Index Next Integer #8,089,681 →