λ
Math Directory

6,677,724

22 × 3 × 556477
Abundant Even Composite

6,677,724 factors as 2^2 × 3 × 556477. Its 12 positive divisors give a proper-divisor sum of 8,903,660, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 556477
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,581,384
Proper Divisor Sum 8,903,660
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6677707 ← → #6677729

Radix Representation

Decimal 6677724
Binary 11001011110010011011100 (23 bits)
Octal 0o31362334
Hexadecimal 0x65E4DC

Divisor Catalog (12)

1 2 3 4 6 12 556,477 1,112,954 1,669,431 2,225,908 3,338,862 6,677,724

Collatz Trajectory (116 steps to reach 1)

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

6,677,724 3,338,862 1,669,431 5,008,294 2,504,147 7,512,442 3,756,221 11,268,664 5,634,332 2,817,166 1,408,583 4,225,750 2,112,875 6,338,626 3,169,313 9,507,940 4,753,970 2,376,985 7,130,956 3,565,478 1,782,739 5,348,218 2,674,109 8,022,328 4,011,164 2,005,582 1,002,791 3,008,374 1,504,187 4,512,562 2,256,281 6,768,844 3,384,422 1,692,211 5,076,634 2,538,317 7,614,952 3,807,476 1,903,738 951,869 2,855,608 1,427,804 713,902 356,951 1,070,854 535,427 1,606,282 803,141 2,409,424 1,204,712 602,356 301,178 150,589 451,768 225,884 112,942 56,471 169,414 84,707 254,122

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