9,946,258

2 × 7 × 17 × 23² × 79

Starting at 9,946,258, the Collatz iteration reaches 1 after 145 steps. The first transition is 4973129; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 17 × 23^2 × 79

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,111,680

Proper Divisor Sum 9,165,422

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #9946247 ← → #9946271

Radix Representation

Decimal	9946258
Binary	100101111100010010010010 (24 bits)
Octal	0o45742222
Hexadecimal	0x97C492

Divisor Catalog (48)

1 2 7 14 17 23 34 46 79 119 158 161 238 322 391 529 553 782 1,058 1,106 1,343 1,817 2,686 2,737 3,634 3,703 5,474 7,406 8,993 9,401 12,719 17,986 18,802 25,438 30,889 41,791 61,778 62,951 83,582 125,902 216,223 292,537 432,446 585,074 710,447 1,420,894 4,973,129 9,946,258

Collatz Trajectory (145 steps to reach 1)

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

9,946,258 4,973,129 14,919,388 7,459,694 3,729,847 11,189,542 5,594,771 16,784,314 8,392,157 25,176,472 12,588,236 6,294,118 3,147,059 9,441,178 4,720,589 14,161,768 7,080,884 3,540,442 1,770,221 5,310,664 2,655,332 1,327,666 663,833 1,991,500 995,750 497,875 1,493,626 746,813 2,240,440 1,120,220 560,110 280,055 840,166 420,083 1,260,250 630,125 1,890,376 945,188 472,594 236,297 708,892 354,446 177,223 531,670 265,835 797,506 398,753 1,196,260 598,130 299,065 897,196 448,598 224,299 672,898 336,449 1,009,348 504,674 252,337 757,012 378,506

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