9,764,560

2⁴ × 5 × 13 × 41 × 229

9,764,560 factors as 2^4 × 5 × 13 × 41 × 229. Its 80 positive divisors give a proper-divisor sum of 15,390,080, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 41 × 229

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 25,154,640

Proper Divisor Sum 15,390,080

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #9764549 ← → #9764563

Radix Representation

Decimal	9764560
Binary	100101001111111011010000 (24 bits)
Octal	0o45177320
Hexadecimal	0x94FED0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 229 260 328 410 458 520 533 656 820 916 1,040 1,066 1,145 1,640 1,832 2,132 2,290 2,665 2,977 3,280 3,664 4,264 4,580 5,330 5,954 8,528 9,160 9,389 10,660 11,908 14,885 18,320 18,778 21,320 23,816 29,770 37,556 42,640 46,945

Collatz Trajectory (114 steps to reach 1)

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

9,764,560 4,882,280 2,441,140 1,220,570 610,285 1,830,856 915,428 457,714 228,857 686,572 343,286 171,643 514,930 257,465 772,396 386,198 193,099 579,298 289,649 868,948 434,474 217,237 651,712 325,856 162,928 81,464 40,732 20,366 10,183 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327

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