9,902,880

2⁵ × 3² × 5 × 13 × 23²

9,902,880 factors as 2^5 × 3^2 × 5 × 13 × 23^2. Its 216 positive divisors give a proper-divisor sum of 28,141,308, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5 × 13 × 23^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 38,044,188

Proper Divisor Sum 28,141,308

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9902873 ← → #9902881

Radix Representation

Decimal	9902880
Binary	100101110001101100100000 (24 bits)
Octal	0o45615440
Hexadecimal	0x971B20

Divisor Catalog (60 of 216)

1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 26 30 32 36 39 40 45 46 48 52 60 65 69 72 78 80 90 92 96 104 115 117 120 130 138 144 156 160 180 184 195 207 208 230 234 240 260 276 288 299 312 345 360

Collatz Trajectory (145 steps to reach 1)

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

9,902,880 4,951,440 2,475,720 1,237,860 618,930 309,465 928,396 464,198 232,099 696,298 348,149 1,044,448 522,224 261,112 130,556 65,278 32,639 97,918 48,959 146,878 73,439 220,318 110,159 330,478 165,239 495,718 247,859 743,578 371,789 1,115,368 557,684 278,842 139,421 418,264 209,132 104,566 52,283 156,850 78,425 235,276 117,638 58,819 176,458 88,229 264,688 132,344 66,172 33,086 16,543 49,630 24,815 74,446 37,223 111,670 55,835 167,506 83,753 251,260 125,630 62,815

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