λ
Harmonic Matrix

6,946,677

32 × 771853
Deficient Odd Composite

6,946,677 has digital root 9. The neighboring primes are 6946669 and 6946703; its proper-divisor sum differs from the starting integer by -3,859,252.

Prime Factor Structure

Factorization String 3^2 × 771853
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,034,102
Proper Divisor Sum 3,087,425
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6946669 ← → #6946703

Radix Representation

Decimal 6946677
Binary 11010011111111101110101 (23 bits)
Octal 0o32377565
Hexadecimal 0x69FF75

Divisor Catalog (6)

1 3 9 771,853 2,315,559 6,946,677

Collatz Trajectory (191 steps to reach 1)

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

6,946,677 20,840,032 10,420,016 5,210,008 2,605,004 1,302,502 651,251 1,953,754 976,877 2,930,632 1,465,316 732,658 366,329 1,098,988 549,494 274,747 824,242 412,121 1,236,364 618,182 309,091 927,274 463,637 1,390,912 695,456 347,728 173,864 86,932 43,466 21,733 65,200 32,600 16,300 8,150 4,075 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348

More profiles

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