9,267,240

2³ × 3 × 5 × 29 × 2663

For 9,267,240, the 64 positive divisors have a total of 28,771,200. Removing 9,267,240 leaves 19,503,960, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 29 × 2663

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 28,771,200

Proper Divisor Sum 19,503,960

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9267217 ← → #9267241

Radix Representation

Decimal	9267240
Binary	100011010110100000101000 (24 bits)
Octal	0o43264050
Hexadecimal	0x8D6828

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1,160 1,740 2,663 3,480 5,326 7,989 10,652 13,315 15,978 21,304 26,630 31,956 39,945 53,260 63,912 77,227 79,890 106,520 154,454 159,780 231,681 308,908 319,560 386,135 463,362 617,816 772,270 926,724 1,158,405 1,544,540 1,853,448

Collatz Trajectory (57 steps to reach 1)

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

9,267,240 4,633,620 2,316,810 1,158,405 3,475,216 1,737,608 868,804 434,402 217,201 651,604 325,802 162,901 488,704 244,352 122,176 61,088 30,544 15,272 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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