9,882,418

2 × 7² × 13 × 7757

Starting at 9,882,418, the Collatz iteration reaches 1 after 119 steps. The first transition is 4941209; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 7757

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,572,652

Proper Divisor Sum 8,690,234

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9882407 ← → #9882437

Radix Representation

Decimal	9882418
Binary	100101101100101100110010 (24 bits)
Octal	0o45545462
Hexadecimal	0x96CB32

Divisor Catalog (24)

1 2 7 13 14 26 49 91 98 182 637 1,274 7,757 15,514 54,299 100,841 108,598 201,682 380,093 705,887 760,186 1,411,774 4,941,209 9,882,418

Collatz Trajectory (119 steps to reach 1)

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

9,882,418 4,941,209 14,823,628 7,411,814 3,705,907 11,117,722 5,558,861 16,676,584 8,338,292 4,169,146 2,084,573 6,253,720 3,126,860 1,563,430 781,715 2,345,146 1,172,573 3,517,720 1,758,860 879,430 439,715 1,319,146 659,573 1,978,720 989,360 494,680 247,340 123,670 61,835 185,506 92,753 278,260 139,130 69,565 208,696 104,348 52,174 26,087 78,262 39,131 117,394 58,697 176,092 88,046 44,023 132,070 66,035 198,106 99,053 297,160 148,580 74,290 37,145 111,436 55,718 27,859 83,578 41,789 125,368 62,684

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