λ
Harmonic Matrix

6,774,025

52 × 270961
Deficient Odd Composite

6,774,025 has digital root 4. The neighboring primes are 6774017 and 6774059; its proper-divisor sum differs from the starting integer by -5,148,228.

Prime Factor Structure

Factorization String 5^2 × 270961
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 8,399,822
Proper Divisor Sum 1,625,797
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6774017 ← → #6774059

Radix Representation

Decimal 6774025
Binary 11001110101110100001001 (23 bits)
Octal 0o31656411
Hexadecimal 0x675D09

Divisor Catalog (6)

1 5 25 270,961 1,354,805 6,774,025

Collatz Trajectory (240 steps to reach 1)

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

6,774,025 20,322,076 10,161,038 5,080,519 15,241,558 7,620,779 22,862,338 11,431,169 34,293,508 17,146,754 8,573,377 25,720,132 12,860,066 6,430,033 19,290,100 9,645,050 4,822,525 14,467,576 7,233,788 3,616,894 1,808,447 5,425,342 2,712,671 8,138,014 4,069,007 12,207,022 6,103,511 18,310,534 9,155,267 27,465,802 13,732,901 41,198,704 20,599,352 10,299,676 5,149,838 2,574,919 7,724,758 3,862,379 11,587,138 5,793,569 17,380,708 8,690,354 4,345,177 13,035,532 6,517,766 3,258,883 9,776,650 4,888,325 14,664,976 7,332,488 3,666,244 1,833,122 916,561 2,749,684 1,374,842 687,421 2,062,264 1,031,132 515,566 257,783

More profiles

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