λ
Sequence Observatory

2,046,467

947 × 2161
Deficient Odd Composite

Starting at 2,046,467, the Collatz iteration reaches 1 after 197 steps. The first transition is 6139402; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 947 × 2161
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,049,576
Proper Divisor Sum 3,109
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2046463 ← → #2046469

Radix Representation

Decimal 2046467
Binary 111110011101000000011 (21 bits)
Octal 0o7635003
Hexadecimal 0x1F3A03

Divisor Catalog (4)

1 947 2,161 2,046,467

Collatz Trajectory (197 steps to reach 1)

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

2,046,467 6,139,402 3,069,701 9,209,104 4,604,552 2,302,276 1,151,138 575,569 1,726,708 863,354 431,677 1,295,032 647,516 323,758 161,879 485,638 242,819 728,458 364,229 1,092,688 546,344 273,172 136,586 68,293 204,880 102,440 51,220 25,610 12,805 38,416 19,208 9,604 4,802 2,401 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000

More profiles

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