λ
Prime Ledger

6,721,180

22 × 5 × 336059
Abundant Even Composite

6,721,180 has the prime decomposition 2^2 × 5 × 336059. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 336059
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,114,520
Proper Divisor Sum 7,393,340
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6721177 ← → #6721181

Radix Representation

Decimal 6721180
Binary 11001101000111010011100 (23 bits)
Octal 0o31507234
Hexadecimal 0x668E9C

Divisor Catalog (12)

1 2 4 5 10 20 336,059 672,118 1,344,236 1,680,295 3,360,590 6,721,180

Collatz Trajectory (147 steps to reach 1)

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

6,721,180 3,360,590 1,680,295 5,040,886 2,520,443 7,561,330 3,780,665 11,341,996 5,670,998 2,835,499 8,506,498 4,253,249 12,759,748 6,379,874 3,189,937 9,569,812 4,784,906 2,392,453 7,177,360 3,588,680 1,794,340 897,170 448,585 1,345,756 672,878 336,439 1,009,318 504,659 1,513,978 756,989 2,270,968 1,135,484 567,742 283,871 851,614 425,807 1,277,422 638,711 1,916,134 958,067 2,874,202 1,437,101 4,311,304 2,155,652 1,077,826 538,913 1,616,740 808,370 404,185 1,212,556 606,278 303,139 909,418 454,709 1,364,128 682,064 341,032 170,516 85,258 42,629

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