λ
Harmonic Matrix

6,796,765

5 × 79 × 17207
Deficient Odd Composite

6,796,765 has digital root 1. The neighboring primes are 6796763 and 6796771; its proper-divisor sum differs from the starting integer by -5,333,690.

Prime Factor Structure

Factorization String 5 × 79 × 17207
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,259,840
Proper Divisor Sum 1,463,075
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #6796763 ← → #6796771

Radix Representation

Decimal 6796765
Binary 11001111011010111011101 (23 bits)
Octal 0o31732735
Hexadecimal 0x67B5DD

Divisor Catalog (8)

1 5 79 395 17,207 86,035 1,359,353 6,796,765

Collatz Trajectory (85 steps to reach 1)

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

6,796,765 20,390,296 10,195,148 5,097,574 2,548,787 7,646,362 3,823,181 11,469,544 5,734,772 2,867,386 1,433,693 4,301,080 2,150,540 1,075,270 537,635 1,612,906 806,453 2,419,360 1,209,680 604,840 302,420 151,210 75,605 226,816 113,408 56,704 28,352 14,176 7,088 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202

More profiles

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