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Atlas › Integer Profiles › Node 6,740,320

6,740,320

25 × 5 × 103 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 103 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,117,920
Proper Divisor Sum 9,377,600
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6740297 ← → #6740341

Radix Representation

Decimal 6740320
Binary 11001101101100101100000 (23 bits)
Octal 0o31554540
Hexadecimal 0x66D960

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 103 160 206 409 412 515 818 824 1,030 1,636 1,648 2,045 2,060 3,272 3,296 4,090 4,120 6,544 8,180 8,240 13,088 16,360 16,480 32,720 42,127 65,440 84,254 168,508 210,635 337,016 421,270 674,032 842,540 1,348,064 1,685,080 3,370,160 6,740,320

Collatz Trajectory (85 steps to reach 1)

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

6,740,320 3,370,160 1,685,080 842,540 421,270 210,635 631,906 315,953 947,860 473,930 236,965 710,896 355,448 177,724 88,862 44,431 133,294 66,647 199,942 99,971 299,914 149,957 449,872 224,936 112,468 56,234 28,117 84,352 42,176 21,088 10,544 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202

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