λ
Harmonic Matrix

6,723,237

3 × 61 × 36739
Deficient Odd Composite

6,723,237 has digital root 3. The neighboring primes are 6723217 and 6723251; its proper-divisor sum differs from the starting integer by -4,334,954.

Prime Factor Structure

Factorization String 3 × 61 × 36739
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,111,520
Proper Divisor Sum 2,388,283
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6723217 ← → #6723251

Radix Representation

Decimal 6723237
Binary 11001101001011010100101 (23 bits)
Octal 0o31513245
Hexadecimal 0x6696A5

Divisor Catalog (8)

1 3 61 183 36,739 110,217 2,241,079 6,723,237

Collatz Trajectory (209 steps to reach 1)

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

6,723,237 20,169,712 10,084,856 5,042,428 2,521,214 1,260,607 3,781,822 1,890,911 5,672,734 2,836,367 8,509,102 4,254,551 12,763,654 6,381,827 19,145,482 9,572,741 28,718,224 14,359,112 7,179,556 3,589,778 1,794,889 5,384,668 2,692,334 1,346,167 4,038,502 2,019,251 6,057,754 3,028,877 9,086,632 4,543,316 2,271,658 1,135,829 3,407,488 1,703,744 851,872 425,936 212,968 106,484 53,242 26,621 79,864 39,932 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878

More profiles

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