9,882,460

2² × 5 × 7 × 70589

Starting at 9,882,460, the Collatz iteration reaches 1 after 119 steps. The first transition is 4941230; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 70589

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,718,240

Proper Divisor Sum 13,835,780

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9882449 ← → #9882461

Radix Representation

Decimal	9882460
Binary	100101101100101101011100 (24 bits)
Octal	0o45545534
Hexadecimal	0x96CB5C

Divisor Catalog (24)

1 2 4 5 7 10 14 20 28 35 70 140 70,589 141,178 282,356 352,945 494,123 705,890 988,246 1,411,780 1,976,492 2,470,615 4,941,230 9,882,460

Collatz Trajectory (119 steps to reach 1)

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

9,882,460 4,941,230 2,470,615 7,411,846 3,705,923 11,117,770 5,558,885 16,676,656 8,338,328 4,169,164 2,084,582 1,042,291 3,126,874 1,563,437 4,690,312 2,345,156 1,172,578 586,289 1,758,868 879,434 439,717 1,319,152 659,576 329,788 164,894 82,447 247,342 123,671 371,014 185,507 556,522 278,261 834,784 417,392 208,696 104,348 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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