9,286,774

2 × 7² × 193 × 491

Starting at 9,286,774, the Collatz iteration reaches 1 after 132 steps. The first transition is 4643387; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 193 × 491

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,321,608

Proper Divisor Sum 7,034,834

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9286663 ← → #9286799

Radix Representation

Decimal	9286774
Binary	100011011011010001110110 (24 bits)
Octal	0o43332166
Hexadecimal	0x8DB476

Divisor Catalog (24)

1 2 7 14 49 98 193 386 491 982 1,351 2,702 3,437 6,874 9,457 18,914 24,059 48,118 94,763 189,526 663,341 1,326,682 4,643,387 9,286,774

Collatz Trajectory (132 steps to reach 1)

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

9,286,774 4,643,387 13,930,162 6,965,081 20,895,244 10,447,622 5,223,811 15,671,434 7,835,717 23,507,152 11,753,576 5,876,788 2,938,394 1,469,197 4,407,592 2,203,796 1,101,898 550,949 1,652,848 826,424 413,212 206,606 103,303 309,910 154,955 464,866 232,433 697,300 348,650 174,325 522,976 261,488 130,744 65,372 32,686 16,343 49,030 24,515 73,546 36,773 110,320 55,160 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913

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