λ
Prime Ledger

6,689,367

32 × 743263
Deficient Odd Composite

6,689,367 has the prime decomposition 3^2 × 743263. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 743263
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,662,432
Proper Divisor Sum 2,973,065
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6689363 ← → #6689377

Radix Representation

Decimal 6689367
Binary 11001100001001001010111 (23 bits)
Octal 0o31411127
Hexadecimal 0x661257

Divisor Catalog (6)

1 3 9 743,263 2,229,789 6,689,367

Collatz Trajectory (116 steps to reach 1)

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

6,689,367 20,068,102 10,034,051 30,102,154 15,051,077 45,153,232 22,576,616 11,288,308 5,644,154 2,822,077 8,466,232 4,233,116 2,116,558 1,058,279 3,174,838 1,587,419 4,762,258 2,381,129 7,143,388 3,571,694 1,785,847 5,357,542 2,678,771 8,036,314 4,018,157 12,054,472 6,027,236 3,013,618 1,506,809 4,520,428 2,260,214 1,130,107 3,390,322 1,695,161 5,085,484 2,542,742 1,271,371 3,814,114 1,907,057 5,721,172 2,860,586 1,430,293 4,290,880 2,145,440 1,072,720 536,360 268,180 134,090 67,045 201,136 100,568 50,284 25,142 12,571 37,714 18,857 56,572 28,286 14,143 42,430

More profiles

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