7,577,380

2² × 5 × 378869

7,577,380 has the prime decomposition 2^2 × 5 × 378869. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 378869

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,912,540

Proper Divisor Sum 8,335,160

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7577369 ← → #7577389

Radix Representation

Decimal	7577380
Binary	11100111001111100100100 (23 bits)
Octal	0o34717444
Hexadecimal	0x739F24

Divisor Catalog (12)

1 2 4 5 10 20 378,869 757,738 1,515,476 1,894,345 3,788,690 7,577,380

Collatz Trajectory (155 steps to reach 1)

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

7,577,380 3,788,690 1,894,345 5,683,036 2,841,518 1,420,759 4,262,278 2,131,139 6,393,418 3,196,709 9,590,128 4,795,064 2,397,532 1,198,766 599,383 1,798,150 899,075 2,697,226 1,348,613 4,045,840 2,022,920 1,011,460 505,730 252,865 758,596 379,298 189,649 568,948 284,474 142,237 426,712 213,356 106,678 53,339 160,018 80,009 240,028 120,014 60,007 180,022 90,011 270,034 135,017 405,052 202,526 101,263 303,790 151,895 455,686 227,843 683,530 341,765 1,025,296 512,648 256,324 128,162 64,081 192,244 96,122 48,061

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