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Atlas › Integer Profiles › Node 6,746,468

6,746,468

22 × 31 × 41 × 1327
Deficient Even Composite

6,746,468 factors as 2^2 × 31 × 41 × 1327. Its 24 positive divisors give a proper-divisor sum of 5,747,356, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 41 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,493,824
Proper Divisor Sum 5,747,356
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6746461 ← → #6746471

Radix Representation

Decimal 6746468
Binary 11001101111000101100100 (23 bits)
Octal 0o31570544
Hexadecimal 0x66F164

Divisor Catalog (24)

1 2 4 31 41 62 82 124 164 1,271 1,327 2,542 2,654 5,084 5,308 41,137 54,407 82,274 108,814 164,548 217,628 1,686,617 3,373,234 6,746,468

Collatz Trajectory (134 steps to reach 1)

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

6,746,468 3,373,234 1,686,617 5,059,852 2,529,926 1,264,963 3,794,890 1,897,445 5,692,336 2,846,168 1,423,084 711,542 355,771 1,067,314 533,657 1,600,972 800,486 400,243 1,200,730 600,365 1,801,096 900,548 450,274 225,137 675,412 337,706 168,853 506,560 253,280 126,640 63,320 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190

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