λ
Harmonic Matrix

6,769,123

257 × 26339
Deficient Odd Composite

6,769,123 has digital root 7. The neighboring primes are 6769099 and 6769127; its proper-divisor sum differs from the starting integer by -6,742,526.

Prime Factor Structure

Factorization String 257 × 26339
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,795,720
Proper Divisor Sum 26,597
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6769099 ← → #6769127

Radix Representation

Decimal 6769123
Binary 11001110100100111100011 (23 bits)
Octal 0o31644743
Hexadecimal 0x6749E3

Divisor Catalog (4)

1 257 26,339 6,769,123

Collatz Trajectory (85 steps to reach 1)

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

6,769,123 20,307,370 10,153,685 30,461,056 15,230,528 7,615,264 3,807,632 1,903,816 951,908 475,954 237,977 713,932 356,966 178,483 535,450 267,725 803,176 401,588 200,794 100,397 301,192 150,596 75,298 37,649 112,948 56,474 28,237 84,712 42,356 21,178 10,589 31,768 15,884 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202

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