9,967,871

193 × 51647

Starting at 9,967,871, the Collatz iteration reaches 1 after 189 steps. The first transition is 29903614; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 193 × 51647

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,019,712

Proper Divisor Sum 51,841

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #9967823 ← → #9967883

Radix Representation

Decimal	9967871
Binary	100110000001100011111111 (24 bits)
Octal	0o46014377
Hexadecimal	0x9818FF

Divisor Catalog (4)

1 193 51,647 9,967,871

Collatz Trajectory (189 steps to reach 1)

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

9,967,871 29,903,614 14,951,807 44,855,422 22,427,711 67,283,134 33,641,567 100,924,702 50,462,351 151,387,054 75,693,527 227,080,582 113,540,291 340,620,874 170,310,437 510,931,312 255,465,656 127,732,828 63,866,414 31,933,207 95,799,622 47,899,811 143,699,434 71,849,717 215,549,152 107,774,576 53,887,288 26,943,644 13,471,822 6,735,911 20,207,734 10,103,867 30,311,602 15,155,801 45,467,404 22,733,702 11,366,851 34,100,554 17,050,277 51,150,832 25,575,416 12,787,708 6,393,854 3,196,927 9,590,782 4,795,391 14,386,174 7,193,087 21,579,262 10,789,631 32,368,894 16,184,447 48,553,342 24,276,671 72,830,014 36,415,007 109,245,022 54,622,511 163,867,534 81,933,767

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