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Atlas › Integer Profiles › Node 7,535,697

7,535,697

3 × 13 × 23 × 31 × 271
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 23 × 31 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,698,176
Proper Divisor Sum 4,162,479
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7535683 ← → #7535701

Radix Representation

Decimal 7535697
Binary 11100101111110001010001 (23 bits)
Octal 0o34576121
Hexadecimal 0x72FC51

Divisor Catalog (32)

1 3 13 23 31 39 69 93 271 299 403 713 813 897 1,209 2,139 3,523 6,233 8,401 9,269 10,569 18,699 25,203 27,807 81,029 109,213 193,223 243,087 327,639 579,669 2,511,899 7,535,697

Collatz Trajectory (191 steps to reach 1)

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

7,535,697 22,607,092 11,303,546 5,651,773 16,955,320 8,477,660 4,238,830 2,119,415 6,358,246 3,179,123 9,537,370 4,768,685 14,306,056 7,153,028 3,576,514 1,788,257 5,364,772 2,682,386 1,341,193 4,023,580 2,011,790 1,005,895 3,017,686 1,508,843 4,526,530 2,263,265 6,789,796 3,394,898 1,697,449 5,092,348 2,546,174 1,273,087 3,819,262 1,909,631 5,728,894 2,864,447 8,593,342 4,296,671 12,890,014 6,445,007 19,335,022 9,667,511 29,002,534 14,501,267 43,503,802 21,751,901 65,255,704 32,627,852 16,313,926 8,156,963 24,470,890 12,235,445 36,706,336 18,353,168 9,176,584 4,588,292 2,294,146 1,147,073 3,441,220 1,720,610

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