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Atlas › Integer Profiles › Node 7,697,268

7,697,268

22 × 35 × 7919
Abundant Even Composite

7,697,268 factors as 2^2 × 3^5 × 7919. Its 36 positive divisors give a proper-divisor sum of 12,482,892, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 7919
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,180,160
Proper Divisor Sum 12,482,892
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #7697257 ← → #7697273

Radix Representation

Decimal 7697268
Binary 11101010111001101110100 (23 bits)
Octal 0o35271564
Hexadecimal 0x757374

Divisor Catalog (36)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 7,919 15,838 23,757 31,676 47,514 71,271 95,028 142,542 213,813 285,084 427,626 641,439 855,252 1,282,878 1,924,317 2,565,756 3,848,634 7,697,268

Collatz Trajectory (72 steps to reach 1)

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

7,697,268 3,848,634 1,924,317 5,772,952 2,886,476 1,443,238 721,619 2,164,858 1,082,429 3,247,288 1,623,644 811,822 405,911 1,217,734 608,867 1,826,602 913,301 2,739,904 1,369,952 684,976 342,488 171,244 85,622 42,811 128,434 64,217 192,652 96,326 48,163 144,490 72,245 216,736 108,368 54,184 27,092 13,546 6,773 20,320 10,160 5,080 2,540 1,270 635 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227

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