λ
Sequence Observatory

6,647,173

13 × 317 × 1613
Deficient Odd Composite

Starting at 6,647,173, the Collatz iteration reaches 1 after 302 steps. The first transition is 19941520; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 317 × 1613
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,185,528
Proper Divisor Sum 538,355
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6647167 ← → #6647189

Radix Representation

Decimal 6647173
Binary 11001010110110110000101 (23 bits)
Octal 0o31266605
Hexadecimal 0x656D85

Divisor Catalog (8)

1 13 317 1,613 4,121 20,969 511,321 6,647,173

Collatz Trajectory (302 steps to reach 1)

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

6,647,173 19,941,520 9,970,760 4,985,380 2,492,690 1,246,345 3,739,036 1,869,518 934,759 2,804,278 1,402,139 4,206,418 2,103,209 6,309,628 3,154,814 1,577,407 4,732,222 2,366,111 7,098,334 3,549,167 10,647,502 5,323,751 15,971,254 7,985,627 23,956,882 11,978,441 35,935,324 17,967,662 8,983,831 26,951,494 13,475,747 40,427,242 20,213,621 60,640,864 30,320,432 15,160,216 7,580,108 3,790,054 1,895,027 5,685,082 2,842,541 8,527,624 4,263,812 2,131,906 1,065,953 3,197,860 1,598,930 799,465 2,398,396 1,199,198 599,599 1,798,798 899,399 2,698,198 1,349,099 4,047,298 2,023,649 6,070,948 3,035,474 1,517,737

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