9,878,040

2³ × 3² × 5 × 23 × 1193

9,878,040 factors as 2^3 × 3^2 × 5 × 23 × 1193. Its 96 positive divisors give a proper-divisor sum of 23,649,480, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 23 × 1193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 33,527,520

Proper Divisor Sum 23,649,480

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9878039 ← → #9878041

Radix Representation

Decimal	9878040
Binary	100101101011101000011000 (24 bits)
Octal	0o45535030
Hexadecimal	0x96BA18

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1,035 1,193 1,380 1,656 2,070 2,386 2,760 3,579 4,140 4,772 5,965 7,158 8,280 9,544 10,737 11,930 14,316 17,895 21,474

Collatz Trajectory (176 steps to reach 1)

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

9,878,040 4,939,020 2,469,510 1,234,755 3,704,266 1,852,133 5,556,400 2,778,200 1,389,100 694,550 347,275 1,041,826 520,913 1,562,740 781,370 390,685 1,172,056 586,028 293,014 146,507 439,522 219,761 659,284 329,642 164,821 494,464 247,232 123,616 61,808 30,904 15,452 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744

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