λ
Harmonic Matrix

6,676,155

33 × 5 × 17 × 2909
Deficient Odd Composite

6,676,155 has digital root 9. The neighboring primes are 6676139 and 6676171; its proper-divisor sum differs from the starting integer by -781,110.

Prime Factor Structure

Factorization String 3^3 × 5 × 17 × 2909
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,571,200
Proper Divisor Sum 5,895,045
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6676139 ← → #6676171

Radix Representation

Decimal 6676155
Binary 11001011101111010111011 (23 bits)
Octal 0o31357273
Hexadecimal 0x65DEBB

Divisor Catalog (32)

1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2,295 2,909 8,727 14,545 26,181 43,635 49,453 78,543 130,905 148,359 247,265 392,715 445,077 741,795 1,335,231 2,225,385 6,676,155

Collatz Trajectory (139 steps to reach 1)

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

6,676,155 20,028,466 10,014,233 30,042,700 15,021,350 7,510,675 22,532,026 11,266,013 33,798,040 16,899,020 8,449,510 4,224,755 12,674,266 6,337,133 19,011,400 9,505,700 4,752,850 2,376,425 7,129,276 3,564,638 1,782,319 5,346,958 2,673,479 8,020,438 4,010,219 12,030,658 6,015,329 18,045,988 9,022,994 4,511,497 13,534,492 6,767,246 3,383,623 10,150,870 5,075,435 15,226,306 7,613,153 22,839,460 11,419,730 5,709,865 17,129,596 8,564,798 4,282,399 12,847,198 6,423,599 19,270,798 9,635,399 28,906,198 14,453,099 43,359,298 21,679,649 65,038,948 32,519,474 16,259,737 48,779,212 24,389,606 12,194,803 36,584,410 18,292,205 54,876,616

More profiles

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