λ
Harmonic Matrix

7,786,949

23 × 338563
Deficient Odd Composite

7,786,949 has digital root 5. The neighboring primes are 7786927 and 7786957; its proper-divisor sum differs from the starting integer by -7,448,362.

Prime Factor Structure

Factorization String 23 × 338563
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,125,536
Proper Divisor Sum 338,587
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #7786927 ← → #7786957

Radix Representation

Decimal 7786949
Binary 11101101101000111000101 (23 bits)
Octal 0o35550705
Hexadecimal 0x76D1C5

Divisor Catalog (4)

1 23 338,563 7,786,949

Collatz Trajectory (67 steps to reach 1)

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

7,786,949 23,360,848 11,680,424 5,840,212 2,920,106 1,460,053 4,380,160 2,190,080 1,095,040 547,520 273,760 136,880 68,440 34,220 17,110 8,555 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40

More profiles

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