λ
Zalai Atlas

6,731,064

23 × 32 × 93487
Abundant Even Composite

6,731,064 has the prime decomposition 2^3 × 3^2 × 93487. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 93487
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,230,160
Proper Divisor Sum 11,499,096
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6731063 ← → #6731069

Radix Representation

Decimal 6731064
Binary 11001101011010100111000 (23 bits)
Octal 0o31532470
Hexadecimal 0x66B538

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 93,487 186,974 280,461 373,948 560,922 747,896 841,383 1,121,844 1,682,766 2,243,688 3,365,532 6,731,064

Collatz Trajectory (222 steps to reach 1)

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

6,731,064 3,365,532 1,682,766 841,383 2,524,150 1,262,075 3,786,226 1,893,113 5,679,340 2,839,670 1,419,835 4,259,506 2,129,753 6,389,260 3,194,630 1,597,315 4,791,946 2,395,973 7,187,920 3,593,960 1,796,980 898,490 449,245 1,347,736 673,868 336,934 168,467 505,402 252,701 758,104 379,052 189,526 94,763 284,290 142,145 426,436 213,218 106,609 319,828 159,914 79,957 239,872 119,936 59,968 29,984 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126

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