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Atlas › Integer Profiles › Node 17,022,016

17,022,016

26 × 11 × 24179
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 11 × 24179
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 36,850,320
Proper Divisor Sum 19,828,304
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #17021993 ← → #17022017

Radix Representation

Decimal 17022016
Binary 1000000111011110001000000 (25 bits)
Octal 0o100736100
Hexadecimal 0x103BC40

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 24,179 48,358 96,716 193,432 265,969 386,864 531,938 773,728 1,063,876 1,547,456 2,127,752 4,255,504 8,511,008 17,022,016

Collatz Trajectory (76 steps to reach 1)

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

17,022,016 8,511,008 4,255,504 2,127,752 1,063,876 531,938 265,969 797,908 398,954 199,477 598,432 299,216 149,608 74,804 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88

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