λ
Prime Ledger

7,329,717

33 × 271471
Deficient Odd Composite

7,329,717 has the prime decomposition 3^3 × 271471. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 271471
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,858,880
Proper Divisor Sum 3,529,163
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7329713 ← → #7329719

Radix Representation

Decimal 7329717
Binary 11011111101011110110101 (23 bits)
Octal 0o33753665
Hexadecimal 0x6FD7B5

Divisor Catalog (8)

1 3 9 27 271,471 814,413 2,443,239 7,329,717

Collatz Trajectory (235 steps to reach 1)

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

7,329,717 21,989,152 10,994,576 5,497,288 2,748,644 1,374,322 687,161 2,061,484 1,030,742 515,371 1,546,114 773,057 2,319,172 1,159,586 579,793 1,739,380 869,690 434,845 1,304,536 652,268 326,134 163,067 489,202 244,601 733,804 366,902 183,451 550,354 275,177 825,532 412,766 206,383 619,150 309,575 928,726 464,363 1,393,090 696,545 2,089,636 1,044,818 522,409 1,567,228 783,614 391,807 1,175,422 587,711 1,763,134 881,567 2,644,702 1,322,351 3,967,054 1,983,527 5,950,582 2,975,291 8,925,874 4,462,937 13,388,812 6,694,406 3,347,203 10,041,610

More profiles

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