λ
Sequence Observatory

6,471,417

3 × 167 × 12917
Deficient Odd Composite

Starting at 6,471,417, the Collatz iteration reaches 1 after 103 steps. The first transition is 19414252; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 167 × 12917
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,680,896
Proper Divisor Sum 2,209,479
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6471401 ← → #6471431

Radix Representation

Decimal 6471417
Binary 11000101011111011111001 (23 bits)
Octal 0o30537371
Hexadecimal 0x62BEF9

Divisor Catalog (8)

1 3 167 501 12,917 38,751 2,157,139 6,471,417

Collatz Trajectory (103 steps to reach 1)

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

6,471,417 19,414,252 9,707,126 4,853,563 14,560,690 7,280,345 21,841,036 10,920,518 5,460,259 16,380,778 8,190,389 24,571,168 12,285,584 6,142,792 3,071,396 1,535,698 767,849 2,303,548 1,151,774 575,887 1,727,662 863,831 2,591,494 1,295,747 3,887,242 1,943,621 5,830,864 2,915,432 1,457,716 728,858 364,429 1,093,288 546,644 273,322 136,661 409,984 204,992 102,496 51,248 25,624 12,812 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191

More profiles

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