9,764,880

2⁴ × 3 × 5 × 23 × 29 × 61

9,764,880 has the prime decomposition 2^4 × 3 × 5 × 23 × 29 × 61. Its 6 distinct prime factors produce 160 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 23 × 29 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 33,212,160

Proper Divisor Sum 23,447,280

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #9764873 ← → #9764897

Radix Representation

Decimal	9764880
Binary	100101010000000000010000 (24 bits)
Octal	0o45200020
Hexadecimal	0x950010

Divisor Catalog (60 of 160)

1 2 3 4 5 6 8 10 12 15 16 20 23 24 29 30 40 46 48 58 60 61 69 80 87 92 115 116 120 122 138 145 174 183 184 230 232 240 244 276 290 305 345 348 366 368 435 460 464 488 552 580 610 667 690 696 732 870 915 920

Collatz Trajectory (114 steps to reach 1)

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

9,764,880 4,882,440 2,441,220 1,220,610 610,305 1,830,916 915,458 457,729 1,373,188 686,594 343,297 1,029,892 514,946 257,473 772,420 386,210 193,105 579,316 289,658 144,829 434,488 217,244 108,622 54,311 162,934 81,467 244,402 122,201 366,604 183,302 91,651 274,954 137,477 412,432 206,216 103,108 51,554 25,777 77,332 38,666 19,333 58,000 29,000 14,500 7,250 3,625 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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