8,091,018

2 × 3² × 13 × 71 × 487

Starting at 8,091,018, the Collatz iteration reaches 1 after 186 steps. The first transition is 4045509; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 71 × 487

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,184,256

Proper Divisor Sum 11,093,238

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8091007 ← → #8091023

Radix Representation

Decimal	8091018
Binary	11110110111010110001010 (23 bits)
Octal	0o36672612
Hexadecimal	0x7B758A

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 487 639 923 974 1,278 1,461 1,846 2,769 2,922 4,383 5,538 6,331 8,307 8,766 12,662 16,614 18,993 34,577 37,986 56,979 69,154 103,731 113,958 207,462 311,193 449,501 622,386 899,002 1,348,503 2,697,006 4,045,509 8,091,018

Collatz Trajectory (186 steps to reach 1)

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

8,091,018 4,045,509 12,136,528 6,068,264 3,034,132 1,517,066 758,533 2,275,600 1,137,800 568,900 284,450 142,225 426,676 213,338 106,669 320,008 160,004 80,002 40,001 120,004 60,002 30,001 90,004 45,002 22,501 67,504 33,752 16,876 8,438 4,219 12,658 6,329 18,988 9,494 4,747 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 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 #8,091,017 Browse Full Index Next Integer #8,091,019 →