9,769,760

2⁵ × 5 × 7 × 11 × 13 × 61

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 11 × 13 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 31,497,984

Proper Divisor Sum 21,728,224

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #9769757 ← → #9769777

Radix Representation

Decimal	9769760
Binary	100101010001001100100000 (24 bits)
Octal	0o45211440
Hexadecimal	0x951320

Divisor Catalog (60 of 192)

1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 32 35 40 44 52 55 56 61 65 70 77 80 88 91 104 110 112 122 130 140 143 154 160 176 182 208 220 224 244 260 280 286 305 308 352 364 385 416 427 440 455 488 520 560 572

Collatz Trajectory (62 steps to reach 1)

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

9,769,760 4,884,880 2,442,440 1,221,220 610,610 305,305 915,916 457,958 228,979 686,938 343,469 1,030,408 515,204 257,602 128,801 386,404 193,202 96,601 289,804 144,902 72,451 217,354 108,677 326,032 163,016 81,508 40,754 20,377 61,132 30,566 15,283 45,850 22,925 68,776 34,388 17,194 8,597 25,792 12,896 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8

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