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Atlas › Integer Profiles › Node 9,767,928

9,767,928

23 × 3 × 17 × 89 × 269
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 89 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 26,244,000
Proper Divisor Sum 16,476,072
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9767921 ← → #9767929

Radix Representation

Decimal 9767928
Binary 100101010000101111111000 (24 bits)
Octal 0o45205770
Hexadecimal 0x950BF8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 24 34 51 68 89 102 136 178 204 267 269 356 408 534 538 712 807 1,068 1,076 1,513 1,614 2,136 2,152 3,026 3,228 4,539 4,573 6,052 6,456 9,078 9,146 12,104 13,719 18,156 18,292 23,941 27,438 36,312 36,584 47,882 54,876 71,823 95,764 109,752 143,646 191,528 287,292 406,997 574,584 813,994 1,220,991 1,627,988

Collatz Trajectory (220 steps to reach 1)

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

9,767,928 4,883,964 2,441,982 1,220,991 3,662,974 1,831,487 5,494,462 2,747,231 8,241,694 4,120,847 12,362,542 6,181,271 18,543,814 9,271,907 27,815,722 13,907,861 41,723,584 20,861,792 10,430,896 5,215,448 2,607,724 1,303,862 651,931 1,955,794 977,897 2,933,692 1,466,846 733,423 2,200,270 1,100,135 3,300,406 1,650,203 4,950,610 2,475,305 7,425,916 3,712,958 1,856,479 5,569,438 2,784,719 8,354,158 4,177,079 12,531,238 6,265,619 18,796,858 9,398,429 28,195,288 14,097,644 7,048,822 3,524,411 10,573,234 5,286,617 15,859,852 7,929,926 3,964,963 11,894,890 5,947,445 17,842,336 8,921,168 4,460,584 2,230,292

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