λ
Prime Ledger

6,694,731

34 × 82651
Deficient Odd Composite

6,694,731 has the prime decomposition 3^4 × 82651. Its 2 distinct prime factors produce 10 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 82651
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 10,000,892
Proper Divisor Sum 3,306,161
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6694711 ← → #6694747

Radix Representation

Decimal 6694731
Binary 11001100010011101001011 (23 bits)
Octal 0o31423513
Hexadecimal 0x66274B

Divisor Catalog (10)

1 3 9 27 81 82,651 247,953 743,859 2,231,577 6,694,731

Collatz Trajectory (134 steps to reach 1)

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

6,694,731 20,084,194 10,042,097 30,126,292 15,063,146 7,531,573 22,594,720 11,297,360 5,648,680 2,824,340 1,412,170 706,085 2,118,256 1,059,128 529,564 264,782 132,391 397,174 198,587 595,762 297,881 893,644 446,822 223,411 670,234 335,117 1,005,352 502,676 251,338 125,669 377,008 188,504 94,252 47,126 23,563 70,690 35,345 106,036 53,018 26,509 79,528 39,764 19,882 9,941 29,824 14,912 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186

More profiles

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