9,390,304

2⁵ × 7 × 11 × 37 × 103

9,390,304 factors as 2^5 × 7 × 11 × 37 × 103. Its 96 positive divisors give a proper-divisor sum of 14,511,392, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 11 × 37 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 23,901,696

Proper Divisor Sum 14,511,392

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9390299 ← → #9390317

Radix Representation

Decimal	9390304
Binary	100011110100100011100000 (24 bits)
Octal	0o43644340
Hexadecimal	0x8F48E0

Divisor Catalog (60 of 96)

1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 103 112 148 154 176 206 224 259 296 308 352 407 412 518 592 616 721 814 824 1,036 1,133 1,184 1,232 1,442 1,628 1,648 2,072 2,266 2,464 2,849 2,884 3,256 3,296 3,811 4,144 4,532 5,698 5,768 6,512 7,622 7,931 8,288 9,064

Collatz Trajectory (163 steps to reach 1)

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

9,390,304 4,695,152 2,347,576 1,173,788 586,894 293,447 880,342 440,171 1,320,514 660,257 1,980,772 990,386 495,193 1,485,580 742,790 371,395 1,114,186 557,093 1,671,280 835,640 417,820 208,910 104,455 313,366 156,683 470,050 235,025 705,076 352,538 176,269 528,808 264,404 132,202 66,101 198,304 99,152 49,576 24,788 12,394 6,197 18,592 9,296 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47

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