λ
Harmonic Matrix

6,767,237

29 × 233353
Deficient Odd Composite

6,767,237 has digital root 2. The neighboring primes are 6767213 and 6767251; its proper-divisor sum differs from the starting integer by -6,533,854.

Prime Factor Structure

Factorization String 29 × 233353
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,000,620
Proper Divisor Sum 233,383
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6767213 ← → #6767251

Radix Representation

Decimal 6767237
Binary 11001110100001010000101 (23 bits)
Octal 0o31641205
Hexadecimal 0x674285

Divisor Catalog (4)

1 29 233,353 6,767,237

Collatz Trajectory (178 steps to reach 1)

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

6,767,237 20,301,712 10,150,856 5,075,428 2,537,714 1,268,857 3,806,572 1,903,286 951,643 2,854,930 1,427,465 4,282,396 2,141,198 1,070,599 3,211,798 1,605,899 4,817,698 2,408,849 7,226,548 3,613,274 1,806,637 5,419,912 2,709,956 1,354,978 677,489 2,032,468 1,016,234 508,117 1,524,352 762,176 381,088 190,544 95,272 47,636 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199

More profiles

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