λ
Sequence Observatory

8,615,790

2 × 32 × 5 × 95731
Abundant Even Composite

Starting at 8,615,790, the Collatz iteration reaches 1 after 119 steps. The first transition is 4307895; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 95731
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,401,288
Proper Divisor Sum 13,785,498
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8615771 ← → #8615791

Radix Representation

Decimal 8615790
Binary 100000110111011101101110 (24 bits)
Octal 0o40673556
Hexadecimal 0x83776E

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 95,731 191,462 287,193 478,655 574,386 861,579 957,310 1,435,965 1,723,158 2,871,930 4,307,895 8,615,790

Collatz Trajectory (119 steps to reach 1)

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

8,615,790 4,307,895 12,923,686 6,461,843 19,385,530 9,692,765 29,078,296 14,539,148 7,269,574 3,634,787 10,904,362 5,452,181 16,356,544 8,178,272 4,089,136 2,044,568 1,022,284 511,142 255,571 766,714 383,357 1,150,072 575,036 287,518 143,759 431,278 215,639 646,918 323,459 970,378 485,189 1,455,568 727,784 363,892 181,946 90,973 272,920 136,460 68,230 34,115 102,346 51,173 153,520 76,760 38,380 19,190 9,595 28,786 14,393 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109

More profiles

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