8,150,580

2² × 3² × 5 × 45281

Starting at 8,150,580, the Collatz iteration reaches 1 after 106 steps. The first transition is 4075290; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 45281

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 24,723,972

Proper Divisor Sum 16,573,392

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8150561 ← → #8150591

Radix Representation

Decimal	8150580
Binary	11111000101111000110100 (23 bits)
Octal	0o37057064
Hexadecimal	0x7C5E34

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 45,281 90,562 135,843 181,124 226,405 271,686 407,529 452,810 543,372 679,215 815,058 905,620 1,358,430 1,630,116 2,037,645 2,716,860 4,075,290 8,150,580

Collatz Trajectory (106 steps to reach 1)

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

8,150,580 4,075,290 2,037,645 6,112,936 3,056,468 1,528,234 764,117 2,292,352 1,146,176 573,088 286,544 143,272 71,636 35,818 17,909 53,728 26,864 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444

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