λ
Math Directory

6,822,446

2 × 3411223
Deficient Even Composite

6,822,446 factors as 2 × 3411223. Its 4 positive divisors give a proper-divisor sum of 3,411,226, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 3411223
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,233,672
Proper Divisor Sum 3,411,226
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6822401 ← → #6822481

Radix Representation

Decimal 6822446
Binary 11010000001101000101110 (23 bits)
Octal 0o32015056
Hexadecimal 0x681A2E

Divisor Catalog (4)

1 2 3,411,223 6,822,446

Collatz Trajectory (116 steps to reach 1)

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

6,822,446 3,411,223 10,233,670 5,116,835 15,350,506 7,675,253 23,025,760 11,512,880 5,756,440 2,878,220 1,439,110 719,555 2,158,666 1,079,333 3,238,000 1,619,000 809,500 404,750 202,375 607,126 303,563 910,690 455,345 1,366,036 683,018 341,509 1,024,528 512,264 256,132 128,066 64,033 192,100 96,050 48,025 144,076 72,038 36,019 108,058 54,029 162,088 81,044 40,522 20,261 60,784 30,392 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216

More profiles

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