λ
Sequence Observatory

6,937,514

2 × 167 × 20771
Deficient Even Composite

Starting at 6,937,514, the Collatz iteration reaches 1 after 147 steps. The first transition is 3468757; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 167 × 20771
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,469,088
Proper Divisor Sum 3,531,574
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6937501 ← → #6937519

Radix Representation

Decimal 6937514
Binary 11010011101101110101010 (23 bits)
Octal 0o32355652
Hexadecimal 0x69DBAA

Divisor Catalog (8)

1 2 167 334 20,771 41,542 3,468,757 6,937,514

Collatz Trajectory (147 steps to reach 1)

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

6,937,514 3,468,757 10,406,272 5,203,136 2,601,568 1,300,784 650,392 325,196 162,598 81,299 243,898 121,949 365,848 182,924 91,462 45,731 137,194 68,597 205,792 102,896 51,448 25,724 12,862 6,431 19,294 9,647 28,942 14,471 43,414 21,707 65,122 32,561 97,684 48,842 24,421 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206

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