9,731,240

2³ × 5 × 29 × 8389

9,731,240 has digital root 8. The neighboring primes are 9731237 and 9731243; its proper-divisor sum differs from the starting integer by 3,190,520.

Prime Factor Structure

Factorization String 2^3 × 5 × 29 × 8389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,653,000

Proper Divisor Sum 12,921,760

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #9731237 ← → #9731243

Radix Representation

Decimal	9731240
Binary	100101000111110010101000 (24 bits)
Octal	0o45076250
Hexadecimal	0x947CA8

Divisor Catalog (32)

1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1,160 8,389 16,778 33,556 41,945 67,112 83,890 167,780 243,281 335,560 486,562 973,124 1,216,405 1,946,248 2,432,810 4,865,620 9,731,240

Collatz Trajectory (163 steps to reach 1)

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

9,731,240 4,865,620 2,432,810 1,216,405 3,649,216 1,824,608 912,304 456,152 228,076 114,038 57,019 171,058 85,529 256,588 128,294 64,147 192,442 96,221 288,664 144,332 72,166 36,083 108,250 54,125 162,376 81,188 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286

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