λ
Math Directory

6,702,309

32 × 744701
Deficient Odd Composite

6,702,309 factors as 3^2 × 744701. Its 6 positive divisors give a proper-divisor sum of 2,978,817, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3^2 × 744701
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,681,126
Proper Divisor Sum 2,978,817
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6702299 ← → #6702317

Radix Representation

Decimal 6702309
Binary 11001100100010011100101 (23 bits)
Octal 0o31442345
Hexadecimal 0x6644E5

Divisor Catalog (6)

1 3 9 744,701 2,234,103 6,702,309

Collatz Trajectory (191 steps to reach 1)

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

6,702,309 20,106,928 10,053,464 5,026,732 2,513,366 1,256,683 3,770,050 1,885,025 5,655,076 2,827,538 1,413,769 4,241,308 2,120,654 1,060,327 3,180,982 1,590,491 4,771,474 2,385,737 7,157,212 3,578,606 1,789,303 5,367,910 2,683,955 8,051,866 4,025,933 12,077,800 6,038,900 3,019,450 1,509,725 4,529,176 2,264,588 1,132,294 566,147 1,698,442 849,221 2,547,664 1,273,832 636,916 318,458 159,229 477,688 238,844 119,422 59,711 179,134 89,567 268,702 134,351 403,054 201,527 604,582 302,291 906,874 453,437 1,360,312 680,156 340,078 170,039 510,118 255,059

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