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9,103,024

24 × 72 × 17 × 683
Abundant Even Composite

9,103,024 factors as 2^4 × 7^2 × 17 × 683. Its 60 positive divisors give a proper-divisor sum of 12,652,280, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 17 × 683
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 21,755,304
Proper Divisor Sum 12,652,280
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #9103021 ← → #9103049

Radix Representation

Decimal 9103024
Binary 100010101110011010110000 (24 bits)
Octal 0o42563260
Hexadecimal 0x8AE6B0

Divisor Catalog (60)

1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 683 784 833 952 1,366 1,666 1,904 2,732 3,332 4,781 5,464 6,664 9,562 10,928 11,611 13,328 19,124 23,222 33,467 38,248 46,444 66,934 76,496 81,277 92,888 133,868 162,554 185,776 267,736 325,108 535,472 568,939 650,216 1,137,878 1,300,432 2,275,756 4,551,512 9,103,024

Collatz Trajectory (80 steps to reach 1)

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

9,103,024 4,551,512 2,275,756 1,137,878 568,939 1,706,818 853,409 2,560,228 1,280,114 640,057 1,920,172 960,086 480,043 1,440,130 720,065 2,160,196 1,080,098 540,049 1,620,148 810,074 405,037 1,215,112 607,556 303,778 151,889 455,668 227,834 113,917 341,752 170,876 85,438 42,719 128,158 64,079 192,238 96,119 288,358 144,179 432,538 216,269 648,808 324,404 162,202 81,101 243,304 121,652 60,826 30,413 91,240 45,620 22,810 11,405 34,216 17,108 8,554 4,277 12,832 6,416 3,208 1,604

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