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Atlas › Integer Profiles › Node 4,097,331

4,097,331

33 × 72 × 19 × 163
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7^2 × 19 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,478,400
Proper Divisor Sum 3,381,069
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4097321 ← → #4097333

Radix Representation

Decimal 4097331
Binary 1111101000010100110011 (22 bits)
Octal 0o17502463
Hexadecimal 0x3E8533

Divisor Catalog (48)

1 3 7 9 19 21 27 49 57 63 133 147 163 171 189 399 441 489 513 931 1,141 1,197 1,323 1,467 2,793 3,097 3,423 3,591 4,401 7,987 8,379 9,291 10,269 21,679 23,961 25,137 27,873 30,807 65,037 71,883 83,619 151,753 195,111 215,649 455,259 585,333 1,365,777 4,097,331

Collatz Trajectory (154 steps to reach 1)

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

4,097,331 12,291,994 6,145,997 18,437,992 9,218,996 4,609,498 2,304,749 6,914,248 3,457,124 1,728,562 864,281 2,592,844 1,296,422 648,211 1,944,634 972,317 2,916,952 1,458,476 729,238 364,619 1,093,858 546,929 1,640,788 820,394 410,197 1,230,592 615,296 307,648 153,824 76,912 38,456 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856 428 214 107 322 161 484 242 121

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