λ
Harmonic Matrix

6,308,180

22 × 5 × 315409
Abundant Even Composite

6,308,180 has digital root 8. The neighboring primes are 6308153 and 6308189; its proper-divisor sum differs from the starting integer by 630,860.

Prime Factor Structure

Factorization String 2^2 × 5 × 315409
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,247,220
Proper Divisor Sum 6,939,040
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6308153 ← → #6308189

Radix Representation

Decimal 6308180
Binary 11000000100000101010100 (23 bits)
Octal 0o30040524
Hexadecimal 0x604154

Divisor Catalog (12)

1 2 4 5 10 20 315,409 630,818 1,261,636 1,577,045 3,154,090 6,308,180

Collatz Trajectory (165 steps to reach 1)

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

6,308,180 3,154,090 1,577,045 4,731,136 2,365,568 1,182,784 591,392 295,696 147,848 73,924 36,962 18,481 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

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