8,082,633

3 × 13 × 17 × 73 × 167

8,082,633 factors as 3 × 13 × 17 × 73 × 167. Its 32 positive divisors give a proper-divisor sum of 4,448,823, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 73 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,531,456

Proper Divisor Sum 4,448,823

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8082631 ← → #8082653

Radix Representation

Decimal	8082633
Binary	11110110101010011001001 (23 bits)
Octal	0o36652311
Hexadecimal	0x7B54C9

Divisor Catalog (32)

1 3 13 17 39 51 73 167 219 221 501 663 949 1,241 2,171 2,839 2,847 3,723 6,513 8,517 12,191 16,133 36,573 36,907 48,399 110,721 158,483 207,247 475,449 621,741 2,694,211 8,082,633

Collatz Trajectory (186 steps to reach 1)

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

8,082,633 24,247,900 12,123,950 6,061,975 18,185,926 9,092,963 27,278,890 13,639,445 40,918,336 20,459,168 10,229,584 5,114,792 2,557,396 1,278,698 639,349 1,918,048 959,024 479,512 239,756 119,878 59,939 179,818 89,909 269,728 134,864 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566

← Previous Integer #8,082,632 Browse Full Index Next Integer #8,082,634 →