λ
Sequence Observatory

6,723,146

2 × 1723 × 1951
Deficient Even Composite

Starting at 6,723,146, the Collatz iteration reaches 1 after 85 steps. The first transition is 3361573; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 1723 × 1951
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,095,744
Proper Divisor Sum 3,372,598
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6723127 ← → #6723163

Radix Representation

Decimal 6723146
Binary 11001101001011001001010 (23 bits)
Octal 0o31513112
Hexadecimal 0x66964A

Divisor Catalog (8)

1 2 1,723 1,951 3,446 3,902 3,361,573 6,723,146

Collatz Trajectory (85 steps to reach 1)

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

6,723,146 3,361,573 10,084,720 5,042,360 2,521,180 1,260,590 630,295 1,890,886 945,443 2,836,330 1,418,165 4,254,496 2,127,248 1,063,624 531,812 265,906 132,953 398,860 199,430 99,715 299,146 149,573 448,720 224,360 112,180 56,090 28,045 84,136 42,068 21,034 10,517 31,552 15,776 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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