λ
Prime Ledger

9,767,140

22 × 5 × 19 × 25703
Abundant Even Composite

9,767,140 has the prime decomposition 2^2 × 5 × 19 × 25703. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 25703
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,591,360
Proper Divisor Sum 11,824,220
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9767101 ← → #9767161

Radix Representation

Decimal 9767140
Binary 100101010000100011100100 (24 bits)
Octal 0o45204344
Hexadecimal 0x9508E4

Divisor Catalog (24)

1 2 4 5 10 19 20 38 76 95 190 380 25,703 51,406 102,812 128,515 257,030 488,357 514,060 976,714 1,953,428 2,441,785 4,883,570 9,767,140

Collatz Trajectory (225 steps to reach 1)

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

9,767,140 4,883,570 2,441,785 7,325,356 3,662,678 1,831,339 5,494,018 2,747,009 8,241,028 4,120,514 2,060,257 6,180,772 3,090,386 1,545,193 4,635,580 2,317,790 1,158,895 3,476,686 1,738,343 5,215,030 2,607,515 7,822,546 3,911,273 11,733,820 5,866,910 2,933,455 8,800,366 4,400,183 13,200,550 6,600,275 19,800,826 9,900,413 29,701,240 14,850,620 7,425,310 3,712,655 11,137,966 5,568,983 16,706,950 8,353,475 25,060,426 12,530,213 37,590,640 18,795,320 9,397,660 4,698,830 2,349,415 7,048,246 3,524,123 10,572,370 5,286,185 15,858,556 7,929,278 3,964,639 11,893,918 5,946,959 17,840,878 8,920,439 26,761,318 13,380,659

More profiles

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