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Atlas › Integer Profiles › Node 3,204,597

3,204,597

3 × 11 × 192 × 269
Deficient Odd Composite

3,204,597 factors as 3 × 11 × 19^2 × 269. Its 24 positive divisors give a proper-divisor sum of 1,733,163, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 3 × 11 × 19^2 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,937,760
Proper Divisor Sum 1,733,163
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3204581 ← → #3204611

Radix Representation

Decimal 3204597
Binary 1100001110010111110101 (22 bits)
Octal 0o14162765
Hexadecimal 0x30E5F5

Divisor Catalog (24)

1 3 11 19 33 57 209 269 361 627 807 1,083 2,959 3,971 5,111 8,877 11,913 15,333 56,221 97,109 168,663 291,327 1,068,199 3,204,597

Collatz Trajectory (195 steps to reach 1)

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

3,204,597 9,613,792 4,806,896 2,403,448 1,201,724 600,862 300,431 901,294 450,647 1,351,942 675,971 2,027,914 1,013,957 3,041,872 1,520,936 760,468 380,234 190,117 570,352 285,176 142,588 71,294 35,647 106,942 53,471 160,414 80,207 240,622 120,311 360,934 180,467 541,402 270,701 812,104 406,052 203,026 101,513 304,540 152,270 76,135 228,406 114,203 342,610 171,305 513,916 256,958 128,479 385,438 192,719 578,158 289,079 867,238 433,619 1,300,858 650,429 1,951,288 975,644 487,822 243,911 731,734

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