λ
Sequence Observatory

9,861,955

5 × 17 × 157 × 739
Deficient Odd Composite

Starting at 9,861,955, the Collatz iteration reaches 1 after 101 steps. The first transition is 29585866; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 17 × 157 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,627,360
Proper Divisor Sum 2,765,405
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9861953 ← → #9861967

Radix Representation

Decimal 9861955
Binary 100101100111101101000011 (24 bits)
Octal 0o45475503
Hexadecimal 0x967B43

Divisor Catalog (16)

1 5 17 85 157 739 785 2,669 3,695 12,563 13,345 62,815 116,023 580,115 1,972,391 9,861,955

Collatz Trajectory (101 steps to reach 1)

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

9,861,955 29,585,866 14,792,933 44,378,800 22,189,400 11,094,700 5,547,350 2,773,675 8,321,026 4,160,513 12,481,540 6,240,770 3,120,385 9,361,156 4,680,578 2,340,289 7,020,868 3,510,434 1,755,217 5,265,652 2,632,826 1,316,413 3,949,240 1,974,620 987,310 493,655 1,480,966 740,483 2,221,450 1,110,725 3,332,176 1,666,088 833,044 416,522 208,261 624,784 312,392 156,196 78,098 39,049 117,148 58,574 29,287 87,862 43,931 131,794 65,897 197,692 98,846 49,423 148,270 74,135 222,406 111,203 333,610 166,805 500,416 250,208 125,104 62,552

More profiles

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